{"id":"https://openalex.org/W4408454450","doi":"https://doi.org/10.3390/axioms14030213","title":"An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms","display_name":"An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408454450","doi":"https://doi.org/10.3390/axioms14030213"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030213","pdf_url":"https://www.mdpi.com/2075-1680/14/3/213/pdf?version=1741947350","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/3/213/pdf?version=1741947350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056024764","display_name":"Md Aquib","orcid":"https://orcid.org/0000-0002-9343-0725"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Md Aquib","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056024764"],"corresponding_institution_ids":["https://openalex.org/I240666556"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":3.9306,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.88715986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"14","issue":"3","first_page":"213","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9993000030517578,"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":0.9993000030517578,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9990000128746033,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.8974099159240723},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6099224090576172},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6076129078865051},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5452658534049988},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5239365696907043},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5189854502677917},{"id":"https://openalex.org/keywords/complex-space","display_name":"Complex space","score":0.48454299569129944},{"id":"https://openalex.org/keywords/product-topology","display_name":"Product topology","score":0.4208206236362457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3861255645751953},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3299776315689087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.258522093296051}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8974099159240723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6099224090576172},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6076129078865051},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5452658534049988},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5239365696907043},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5189854502677917},{"id":"https://openalex.org/C24129628","wikidata":"https://www.wikidata.org/wiki/Q25345430","display_name":"Complex space","level":3,"score":0.48454299569129944},{"id":"https://openalex.org/C123222754","wikidata":"https://www.wikidata.org/wiki/Q1070472","display_name":"Product topology","level":2,"score":0.4208206236362457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3861255645751953},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3299776315689087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.258522093296051},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030213","pdf_url":"https://www.mdpi.com/2075-1680/14/3/213/pdf?version=1741947350","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:618662ee674948469d5ab79fdcfe0184","is_oa":true,"landing_page_url":"https://doaj.org/article/618662ee674948469d5ab79fdcfe0184","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 213 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030213","pdf_url":"https://www.mdpi.com/2075-1680/14/3/213/pdf?version=1741947350","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408454450.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W60775228","https://openalex.org/W1854988966","https://openalex.org/W1948926105","https://openalex.org/W2021393028","https://openalex.org/W2026030389","https://openalex.org/W2031917130","https://openalex.org/W2034193895","https://openalex.org/W2040549438","https://openalex.org/W2046883991","https://openalex.org/W2062208173","https://openalex.org/W2062346296","https://openalex.org/W2063198312","https://openalex.org/W2088027632","https://openalex.org/W2104588218","https://openalex.org/W2144842509","https://openalex.org/W2184850258","https://openalex.org/W2344010470","https://openalex.org/W2540162603","https://openalex.org/W2570949444","https://openalex.org/W2626293890","https://openalex.org/W2789896065","https://openalex.org/W2803416388","https://openalex.org/W2908633068","https://openalex.org/W2949806910","https://openalex.org/W2963336596","https://openalex.org/W2964231853","https://openalex.org/W3008713598","https://openalex.org/W3102374638","https://openalex.org/W4231270026","https://openalex.org/W4242771523","https://openalex.org/W6640774855","https://openalex.org/W6672325754","https://openalex.org/W6686830654"],"related_works":["https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W2480115405","https://openalex.org/W3197542402","https://openalex.org/W1856228368","https://openalex.org/W4288631790","https://openalex.org/W2030038485","https://openalex.org/W2790821632","https://openalex.org/W2324770037"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"utilize":[4],"advanced":[5],"optimization":[6],"techniques":[7],"on":[8],"Riemannian":[9],"submanifolds":[10,28],"to":[11],"establish":[12],"two":[13],"distinct":[14],"inequalities":[15,42],"concerning":[16],"the":[17,36],"generalized":[18],"normalized":[19],"\u03b4-Casorati":[20],"curvatures":[21],"of":[22],"warped":[23],"product":[24],"pointwise":[25],"semi-slant":[26],"(WPPSS)":[27],"within":[29],"complex":[30],"space":[31],"forms.":[32],"We":[33],"further":[34],"identify":[35],"precise":[37],"conditions":[38],"under":[39],"which":[40],"these":[41],"attain":[43],"equality,":[44],"providing":[45],"valuable":[46],"insights":[47],"into":[48],"their":[49],"geometric":[50],"and":[51,61,71],"structural":[52],"significance.":[53],"Additionally,":[54],"also":[56],"present":[57],"results":[58],"involving":[59],"harmonic":[60],"Hessian":[62],"functions,":[63],"revealing":[64],"a":[65],"broader":[66],"connection":[67],"between":[68],"curvature":[69],"properties":[70],"analytic":[72],"functions.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
