{"id":"https://openalex.org/W2035350434","doi":"https://doi.org/10.1155/2011/857953","title":"On <i>CR</i>\u2010Lightlike Product of an Indefinite Kaehler Manifold","display_name":"On <i>CR</i>\u2010Lightlike Product of an Indefinite Kaehler Manifold","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2035350434","doi":"https://doi.org/10.1155/2011/857953","mag":"2035350434"},"language":"en","primary_location":{"id":"doi:10.1155/2011/857953","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/857953","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/857953.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2011/857953.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011385427","display_name":"Rakesh Kumar","orcid":"https://orcid.org/0000-0001-8896-7539"},"institutions":[{"id":"https://openalex.org/I79161377","display_name":"Punjabi University","ror":"https://ror.org/00xdn8y92","country_code":"IN","type":"education","lineage":["https://openalex.org/I79161377"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Rakesh Kumar","raw_affiliation_strings":["University College of Engineering, Punjabi University, Patiala, India"],"affiliations":[{"raw_affiliation_string":"University College of Engineering, Punjabi University, Patiala, India","institution_ids":["https://openalex.org/I79161377"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103198603","display_name":"Jasleen Kaur","orcid":"https://orcid.org/0000-0002-4284-2842"},"institutions":[{"id":"https://openalex.org/I79161377","display_name":"Punjabi University","ror":"https://ror.org/00xdn8y92","country_code":"IN","type":"education","lineage":["https://openalex.org/I79161377"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jasleen Kaur","raw_affiliation_strings":["Department of Mathematics, Punjabi University, Patiala, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Punjabi University, Patiala, India","institution_ids":["https://openalex.org/I79161377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012328347","display_name":"R. K. Nagaich","orcid":null},"institutions":[{"id":"https://openalex.org/I79161377","display_name":"Punjabi University","ror":"https://ror.org/00xdn8y92","country_code":"IN","type":"education","lineage":["https://openalex.org/I79161377"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. K. Nagaich","raw_affiliation_strings":["Department of Mathematics, Punjabi University, Patiala, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Punjabi University, Patiala, India","institution_ids":["https://openalex.org/I79161377"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011385427"],"corresponding_institution_ids":["https://openalex.org/I79161377"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.4095,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58546467,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"2011","issue":"1","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":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","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/T12351","display_name":"Geometry and complex manifolds","score":0.9988999962806702,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9854999780654907,"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":0.8008237481117249},{"id":"https://openalex.org/keywords/submanifold","display_name":"Submanifold","score":0.766159176826477},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.7414848208427429},{"id":"https://openalex.org/keywords/k\u00e4hler-manifold","display_name":"K\u00e4hler manifold","score":0.7092793583869934},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6208447813987732},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6189898252487183},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.49783754348754883},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4629858732223511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4396503269672394},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.4194682240486145},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12622591853141785},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.055037736892700195}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8008237481117249},{"id":"https://openalex.org/C151300846","wikidata":"https://www.wikidata.org/wiki/Q125539","display_name":"Submanifold","level":2,"score":0.766159176826477},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.7414848208427429},{"id":"https://openalex.org/C157135747","wikidata":"https://www.wikidata.org/wiki/Q1353916","display_name":"K\u00e4hler manifold","level":2,"score":0.7092793583869934},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6208447813987732},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6189898252487183},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.49783754348754883},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4629858732223511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4396503269672394},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.4194682240486145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12622591853141785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.055037736892700195},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2011/857953","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/857953","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/857953.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d78d9a4f6e4b48ef977cd6fcb4d808aa","is_oa":true,"landing_page_url":"https://doaj.org/article/d78d9a4f6e4b48ef977cd6fcb4d808aa","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2011/857953","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/857953","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2011/857953","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2011/857953","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/857953.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2035350434.pdf","grobid_xml":"https://content.openalex.org/works/W2035350434.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W652820532","https://openalex.org/W1567310928","https://openalex.org/W1582894873","https://openalex.org/W2048859782","https://openalex.org/W2082601397","https://openalex.org/W2090030584","https://openalex.org/W2091349394","https://openalex.org/W4233346771","https://openalex.org/W4234607344","https://openalex.org/W4239957806","https://openalex.org/W6673263033","https://openalex.org/W6814649777","https://openalex.org/W6816377531"],"related_works":["https://openalex.org/W2244708326","https://openalex.org/W2000205642","https://openalex.org/W2593232824","https://openalex.org/W4302324255","https://openalex.org/W1486895930","https://openalex.org/W2914683934","https://openalex.org/W3167802224","https://openalex.org/W1595799652","https://openalex.org/W2963169233","https://openalex.org/W3119140586"],"abstract_inverted_index":{"We":[0],"have":[1],"studied":[2],"mixed":[3],"foliate":[4,24],"CR":[5,9,25],"\u2010lightlike":[6,10,26],"submanifolds":[7],"and":[8,17,37],"product":[11],"of":[12,28],"an":[13],"indefinite":[14,29,41],"Kaehler":[15,42],"manifold":[16,43],"also":[18,34],"obtained":[19],"relationship":[20],"between":[21],"them.":[22],"Mixed":[23],"submanifold":[27],"complex":[30,46],"space":[31],"form":[32],"has":[33],"been":[35],"discussed":[36],"showed":[38],"that":[39],"the":[40,45],"becomes":[44],"semi\u2010Euclidean":[47],"space.":[48]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
