Clairaut semi-invariant riemannian maps to kähler manifolds

Basit Öğe Kaydı
dc.authorid0000-0003-1846-0817en_US
dc.authorid0000-0002-6959-5853en_US
dc.contributor.authorPolat, Murat
dc.contributor.authorMeena, Kiran
dc.date.accessioned2024-06-24T12:26:16Z
dc.date.available2024-06-24T12:26:16Z
dc.date.issued2024en_US
dc.departmentDicle Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, first, we recall the notion of Clairaut Riemannian map (CRM) F using a geodesic curve on the base manifold and give the Ricci equation. We also show that if base manifold of CRM is space form then leaves of (kerF∗)⊥ become space forms and symmetric as well. Secondly, we define Clairaut semi-invariant Riemannian map (CSIRM) from a Riemannian manifold (M,gM) to a Kähler manifold (N,gN,P) with a non-trivial example. We find necessary and sufficient conditions for a curve on the base manifold of semi-invariant Riemannian map (SIRM) to be geodesic. Further, we obtain necessary and sufficient conditions for a SIRM to be CSIRM. Moreover, we find necessary and sufficient condition for CSIRM to be harmonic and totally geodesic. In addition, we find necessary and sufficient condition for the distributions D1¯ and D2¯ of (kerF∗)⊥ (which are arisen from the definition of CSIRM) to define totally geodesic foliations. Finally, we obtain necessary and sufficient conditions for (kerF∗)⊥ and base manifold to be locally product manifold D1¯×D2¯ and (rangeF∗)×(rangeF∗)⊥, respectively.en_US
dc.identifier.citationPolat, M. ve Meena, K. (2024). Clairaut semi-invariant riemannian maps to kähler manifolds. Mediterranean Journal of Mathematics, 21(3), 1-19.en_US
dc.identifier.endpage19en_US
dc.identifier.issn1660-5446
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85192872074
dc.identifier.scopusqualityQ2
dc.identifier.startpage1en_US
dc.identifier.urihttps://link.springer.com/article/10.1007/s00009-024-02666-5
dc.identifier.urihttps://hdl.handle.net/11468/28679
dc.identifier.volume21en_US
dc.identifier.wosWOS:001221730900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPolat, Murat
dc.language.isoenen_US
dc.publisherBirkhauseren_US
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.isversionof10.1007/s00009-024-02666-5en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject53C43en_US
dc.subjectClairaut Riemannian mapsen_US
dc.subjectHarmonic mapsen_US
dc.subjectKähler manifoldsen_US
dc.subjectPrimary 53B20en_US
dc.subjectRiemannian mapsen_US
dc.subjectSecondary 53B35en_US
dc.subjectSemi-invariant Riemannian mapsen_US
dc.titleClairaut semi-invariant riemannian maps to kähler manifoldsen_US
dc.titleClairaut semi-invariant riemannian maps to kähler manifolds
dc.typeArticleen_US

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