Clairaut slant Riemannian maps to Kahler manifolds
| dc.contributor.author | Yadav, Jyoti | |
| dc.contributor.author | Shanker, Gauree | |
| dc.contributor.author | Polat, Murat | |
| dc.date.accessioned | 2024-04-24T17:12:03Z | |
| dc.date.available | 2024-04-24T17:12:03Z | |
| dc.date.issued | 2023 | |
| dc.department | Dicle Üniversitesi | en_US |
| dc.description.abstract | The aim of this paper is to study the idea of Clairaut slant Riemannian maps from Riemannian manifolds to Kahler manifolds. First, for the slant Riemannian map, we obtain the necessary and sufficient conditions for a curve to be a geodesic on the base manifold. Further, we find the necessary and sufficient conditions for the slant Riemannian map to be a Clairaut slant Riemannian map; for Clairaut slant Riemannian map to be totally geodesic; for the base manifold to be a locally product manifold. Further, we obtain the necessary and sufficient condition for the integrability of range of derivative map. Also, we investigate the harmonicity of Clairaut slant Riemannian map. Finally, we get two inequalities in terms of second fundamental form of a Clairaut slant Riemannian map and check the equality case. | en_US |
| dc.description.sponsorship | Council for Scientific and Industrial Research (CSIR) Delhi, India [09/1051(12062)/2021-EMR-I]; Department of Science and Technology(DST) Government of India [TPN-69301, SR/FST/MS-1/2021/104] | en_US |
| dc.description.sponsorship | The first author is grateful for the financial support provided by Council for Scientific and Industrial Research (CSIR) Delhi, India, File no. [09/1051(12062)/2021-EMR-I]. The second author is thankful to the Department of Science and Technology(DST) Government of India for providing financial assistance in terms of FIST project(TPN-69301) vide the letter with Ref No. (SR/FST/MS-1/2021/104). | en_US |
| dc.identifier.doi | 10.1142/S0219887824501019 | |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.scopus | 2-s2.0-85183203269 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219887824501019 | |
| dc.identifier.uri | https://hdl.handle.net/11468/17835 | |
| dc.identifier.volume | 20 | en_US |
| dc.identifier.wos | WOS:001143104000001 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Kahler Manifold | en_US |
| dc.subject | Clairaut Submersion | en_US |
| dc.subject | Riemannian Map | en_US |
| dc.subject | Slant Riemannian Map | en_US |
| dc.subject | Clairaut Riemannian Map | en_US |
| dc.title | Clairaut slant Riemannian maps to Kahler manifolds | en_US |
| dc.title | Clairaut slant Riemannian maps to Kahler manifolds | |
| dc.type | Article | en_US |
