{"id":"https://openalex.org/W7161290727","doi":"https://doi.org/10.48550/arxiv.2605.14385","title":"Solitons for the inverse curve shortening flow on the hyperbolic plane","display_name":"Solitons for the inverse curve shortening flow on the hyperbolic plane","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161290727","doi":"https://doi.org/10.48550/arxiv.2605.14385"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2605.14385","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.14385","pdf_url":"https://arxiv.org/pdf/2605.14385","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2605.14385","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159805399","display_name":"Ivan Krznari\u0107","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Krznari\u0107, Ivan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136143297","display_name":"Rafael L\u00f3pez","orcid":"https://orcid.org/0000-0003-3108-7009","observed_orcids":["https://orcid.org/0000-0003-3108-7009"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L\u00f3pez, Rafael","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.014800000004470348,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/solitons","display_name":"solitons","score":0.8159999847412109},{"id":"https://openalex.org/keywords/hyperbolic-plane","display_name":"hyperbolic plane","score":0.9929999709129333},{"id":"https://openalex.org/keywords/killing-fields","display_name":"Killing fields","score":0.9629999995231628},{"id":"https://openalex.org/keywords/horocycles","display_name":"horocycles","score":0.7630000114440918},{"id":"https://openalex.org/keywords/cusps","display_name":"cusps","score":0.7229999899864197},{"id":"https://openalex.org/keywords/curvature-blow-up","display_name":"curvature blow-up","score":0.6349999904632568},{"id":"https://openalex.org/keywords/ideal-boundary","display_name":"ideal boundary","score":0.7979999780654907},{"id":"https://openalex.org/keywords/constant-curvature-curves","display_name":"constant curvature curves","score":0.671999990940094},{"id":"https://openalex.org/keywords/planar-systems","display_name":"planar systems","score":0.42899999022483826}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7095000147819519},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.664900004863739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6420000195503235},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5824000239372253},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5379999876022339},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5123999714851379},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.48969998955726624},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40459999442100525},{"id":"https://openalex.org/C82673646","wikidata":"https://www.wikidata.org/wiki/Q2246553","display_name":"Hyperbolic triangle","level":4,"score":0.38449999690055847},{"id":"https://openalex.org/C51691630","wikidata":"https://www.wikidata.org/wiki/Q3925833","display_name":"Hyperbolic equilibrium point","level":4,"score":0.36629998683929443},{"id":"https://openalex.org/C163016742","wikidata":"https://www.wikidata.org/wiki/Q640600","display_name":"Inverse hyperbolic function","level":4,"score":0.35839998722076416},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.35760000348091125},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.3352999985218048},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3346000015735626},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C174558057","wikidata":"https://www.wikidata.org/wiki/Q11639409","display_name":"Inverse scattering problem","level":3,"score":0.29580000042915344},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.27079999446868896},{"id":"https://openalex.org/C39308205","wikidata":"https://www.wikidata.org/wiki/Q7880612","display_name":"Ultraparallel theorem","level":5,"score":0.2696000039577484},{"id":"https://openalex.org/C70984080","wikidata":"https://www.wikidata.org/wiki/Q2619102","display_name":"Hyperbolic manifold","level":3,"score":0.26829999685287476},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C139966315","wikidata":"https://www.wikidata.org/wiki/Q1003216","display_name":"Hyperbolic angle","level":5,"score":0.26249998807907104}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2605.14385","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.14385","pdf_url":"https://arxiv.org/pdf/2605.14385","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2605.14385","doi":"https://doi.org/10.48550/arxiv.2605.14385","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14385","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2605.14385","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.14385","pdf_url":"https://arxiv.org/pdf/2605.14385","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1855990336","display_name":null,"funder_award_id":".13039/501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2193086574","display_name":null,"funder_award_id":"CEX2020-001105-M","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2660406951","display_name":null,"funder_award_id":"/ AEI/10","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3518538256","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G425668148","display_name":null,"funder_award_id":".13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4571679087","display_name":null,"funder_award_id":"PID2023-150727NB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G464105488","display_name":null,"funder_award_id":"PID2023","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G5421974903","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G567365627","display_name":null,"funder_award_id":"CEX 2020-001105-M","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7161290727.pdf","grobid_xml":"https://content.openalex.org/works/W7161290727.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3124767701","https://openalex.org/W4288889576","https://openalex.org/W3123646226","https://openalex.org/W7120569078","https://openalex.org/W2922055235","https://openalex.org/W7161354175","https://openalex.org/W4392850318","https://openalex.org/W2040804545","https://openalex.org/W7120400239","https://openalex.org/W2528873136"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,5,11,23,59,64,73,85,88,92,96,111,117,122,130,135],"solitons":[3,124,133,137],"of":[4,48,69,84,87,138],"inverse":[6],"curve":[7,65],"shortening":[8],"flow":[9],"in":[10],"hyperbolic":[12,24,118],"plane":[13],"with":[14,28],"respect":[15],"to":[16,40,114],"Killing":[17],"fields:":[18],"all":[19],"parabolic":[20,74],"fields,":[21],"and":[22,25,32,63,75,108,121,134],"elliptic":[26,76],"fields":[27],"unit":[29,33],"translation":[30],"length":[31],"angular":[34],"speed.":[35],"The":[36],"three":[37],"cases":[38,77],"reduce":[39],"one":[41],"planar":[42],"system.":[43],"Except":[44],"for":[45],"a":[46,67,70,80,104],"family":[47],"horocycles,":[49],"every":[50],"soliton":[51],"has":[52],"an":[53],"endpoint":[54],"at":[55,109],"finite":[56],"distance":[57],"where":[58],"curvature":[60,112],"blows":[61],"up":[62],"is":[66,79,103],"branch":[68],"cusp.":[71],"In":[72,116],"there":[78],"critical":[81,123],"value":[82],"$H$":[83,91,101,110],"parameter":[86],"family:":[89],"below":[90],"other":[93],"end":[94],"meets":[95],"ideal":[97],"boundary":[98],"orthogonally,":[99],"above":[100],"it":[102],"second":[105],"singular":[106],"endpoint,":[107],"tends":[113],"$1$.":[115],"case":[119],"$H=\u03c0/2$":[120],"are":[125,129],"horocycles.":[126],"These":[127],"horocycles":[128],"only":[131,136],"complete":[132],"constant":[139],"curvature.":[140]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-05-16T00:00:00"}
