Clairaut anti-invariant Riemannian maps to Sasakian manifolds

2024/02/05 by Zafar, Md Nadim, Zaidi, Adeeba, Shanker, Gauree
#53C15 (Primary) #53C25 #54C05 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.03129

Abstract

In this paper, we investigate the geometry of Clairaut anti-invariant Riemannnian maps whose base space are Sasakian manifolds. We obtain the necessary and sufficient conditions for a curve on a base manifold to be geodesic. We obtain conditions for an anti-invariant Riemannian map to be Clairaut. Further, we discuss the biharmonicity of such maps and construct some illustrative examples.

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