{"id":"https://openalex.org/W2016921726","doi":"https://doi.org/10.1080/10586458.2000.10504663","title":"New Constant Mean Curvature Surfaces","display_name":"New Constant Mean Curvature Surfaces","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2016921726","doi":"https://doi.org/10.1080/10586458.2000.10504663","mag":"2016921726"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2000.10504663","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2000.10504663","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047100219","display_name":"Martin Kilian","orcid":"https://orcid.org/0000-0002-6127-0034"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Martin Kilian","raw_affiliation_strings":["Center for Geometry, Analysis, Numerics and Graphics, Deptartment of Mathematics , University of Massachusetts , Amherst , MA , 01003 , United States E-mail: kilian@gang.umass.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Geometry, Analysis, Numerics and Graphics, Deptartment of Mathematics , University of Massachusetts , Amherst , MA , 01003 , United States E-mail: kilian@gang.umass.edu","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097361145","display_name":"Ian Mclntosh","orcid":null},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ian Mclntosh","raw_affiliation_strings":["Department of Mathematics , University of York , York YOl0 5DD , United Kingdom E-mail: im7@york.ac.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of York , York YOl0 5DD , United Kingdom E-mail: im7@york.ac.uk","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102387268","display_name":"Nicholas Schmitt","orcid":null},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicholas Schmitt","raw_affiliation_strings":["Center for Geometry, Analysis, Numerics and Graphics, Deptartment of Mathematics , University of Massachusetts , Amherst , MA , 01003 , United States E-mail: nick@math.umass.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Geometry, Analysis, Numerics and Graphics, Deptartment of Mathematics , University of Massachusetts , Amherst , MA , 01003 , United States E-mail: nick@math.umass.edu","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047100219"],"corresponding_institution_ids":["https://openalex.org/I24603500"],"apc_list":null,"apc_paid":null,"fwci":4.1053,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93194122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":"4","first_page":"595","last_page":"611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9994999766349792,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8882037401199341},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.6715124249458313},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.661047101020813},{"id":"https://openalex.org/keywords/constant-mean-curvature-surface","display_name":"Constant-mean-curvature surface","score":0.5440919995307922},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.487530916929245},{"id":"https://openalex.org/keywords/center-of-curvature","display_name":"Center of curvature","score":0.4805329442024231},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4670620858669281},{"id":"https://openalex.org/keywords/constant-curvature","display_name":"Constant curvature","score":0.41737353801727295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41706281900405884}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8882037401199341},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.6715124249458313},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.661047101020813},{"id":"https://openalex.org/C128688156","wikidata":"https://www.wikidata.org/wiki/Q5163611","display_name":"Constant-mean-curvature surface","level":5,"score":0.5440919995307922},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.487530916929245},{"id":"https://openalex.org/C161223928","wikidata":"https://www.wikidata.org/wiki/Q3775868","display_name":"Center of curvature","level":4,"score":0.4805329442024231},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4670620858669281},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.41737353801727295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41706281900405884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10586458.2000.10504663","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2000.10504663","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1045759525","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1045759525","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.453","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.gang.umass.edu/preprint/documents/gang5-05.pdf.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W158976275","https://openalex.org/W162896405","https://openalex.org/W1489056523","https://openalex.org/W1606513471","https://openalex.org/W1624852596","https://openalex.org/W1791860024","https://openalex.org/W1866690546","https://openalex.org/W1979345909","https://openalex.org/W2012499561","https://openalex.org/W2016835693","https://openalex.org/W2018293449","https://openalex.org/W2051967500","https://openalex.org/W2122295988","https://openalex.org/W2170120409","https://openalex.org/W4240982887"],"related_works":["https://openalex.org/W153773624","https://openalex.org/W2378071805","https://openalex.org/W284203134","https://openalex.org/W2356401747","https://openalex.org/W1601353378","https://openalex.org/W2029064675","https://openalex.org/W3211820981","https://openalex.org/W2948699889","https://openalex.org/W158802059","https://openalex.org/W4296659256"],"abstract_inverted_index":{"We":[0],"use":[1],"the":[2,45,64,68,83],"Dorfmeister\u2013Pedit\u2013Wu":[3],"construction":[4],"to":[5,30,73],"present":[6],"three":[7],"new":[8],"classesof":[9],"immersed":[10],"CMC":[11,75],"cylinders,":[12],"each":[13,48],"of":[14,24,54],"which":[15],"includes":[16],"surfaces":[17,38],"with":[18,26,39,56,78],"umbilics.":[19],"The":[20,34],"first":[21],"class":[22,36,47],"consists":[23],"cylinders":[25],"one":[27],"end":[28],"asymptotic":[29],"a":[31,40,51,57],"Delaunay":[32,80],"surface.":[33],"second":[35],"presents":[37],"closed":[41,52],"planar":[42],"geodesic.":[43],"In":[44],"third":[46,65],"surface":[49],"has":[50],"curve":[53],"points":[55],"common":[58],"tangent":[59],"plane.":[60],"An":[61],"appendix,":[62],"by":[63],"author,":[66],"describes":[67],"DPW":[69],"potentials":[70],"that":[71],"appear":[72],"give":[74],"punctured":[76],"spheres":[77],"k":[79],"ends":[81],"(k-noids):":[82],"evidence":[84],"is":[85],"experimental":[86],"at":[87],"present.":[88],"These":[89],"can":[90],"have":[91],"both":[92],"unduloidal":[93],"and":[94],"nodoidal":[95],"ends.":[96]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}