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arXiv · 2306.07572

Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds

Adeeba Zaidi·Gauree Shanker
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Abstract

In this article, we introduce Clairaut anti-invariant Riemannian maps from Riemannian manifolds to trans-Sasakian manifolds. We derive necessary and sufficient condition for an anti-invariant map to be Clairaut when base manifold is trans-Sasakian manifold. We discuss the integrability of range\pi_* and (range\pi_*)^\perp. Further, we establish harmonicity of these maps. Finally, we construct nontrivial examples of such maps for justification.

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Adeeba Zaidi, Gauree Shanker. 2023-06-13. Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds. https://arxiv.org/abs/2306.07572

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