Clairaut slant Riemannian maps to Kahler manifolds

被引:2
|
作者
Yadav, Jyoti [1 ]
Shanker, Gauree [1 ]
Polat, Murat [2 ]
机构
[1] Cent Univ Punjab, Dept Math & Stat, Bathinda 151401, Punjab, India
[2] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbak, Turkiye
关键词
Kahler manifold; Clairaut submersion; Riemannian map; slant Riemannian map; Clairaut Riemannian map; INVARIANT; SUBMERSIONS;
D O I
10.1142/S0219887824501019
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:24
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