Clairaut slant Riemannian maps to Kahler manifolds

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Kahler Manifold, Clairaut Submersion, Riemannian Map, Slant Riemannian Map, Clairaut Riemannian Map

Kaynak

International Journal of Geometric Methods in Modern Physics

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

20

Sayı

Künye