Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds

2023/06/13 by Zaidi, Adeeba, Shanker, Gauree
#54C05 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C15 #Secondary 53C25

paper · doi:10.48550/arxiv.2306.07572

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 rangeπ_* and (rangeπ_*)^⊥. Further, we establish harmonicity of these maps. Finally, we construct nontrivial examples of such maps for justification.

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