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arXiv · 2402.03129

Clairaut anti-invariant Riemannian maps to Sasakian manifolds

Md Nadim Zafar·Adeeba Zaidi·Gauree Shanker
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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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Md Nadim Zafar, Adeeba Zaidi, Gauree Shanker. 2024-08-30. Clairaut anti-invariant Riemannian maps to Sasakian manifolds. https://arxiv.org/abs/2402.03129

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