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arXiv · 2409.01636

Bi-slant Riemannian maps to Kenmotsu manifolds and some optimal inequalities

Adeeba Zaidi·Gauree Shanker
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Abstract

In this paper, we introduce bi-slant Riemannian maps from Riemannian manifolds to Kenmotsu manifolds, which are the natural generalizations of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian maps, with nontrivial examples. We study these maps and give some curvature relations for $(rangeF_*)^\perp$. We construct Chen-Ricci inequalities, DDVV inequalities, and further some optimal inequalities involving Casorati curvatures from bi-slant Riemannian manifolds to Kenmotsu space forms.

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Adeeba Zaidi, Gauree Shanker. 2024-09-03. Bi-slant Riemannian maps to Kenmotsu manifolds and some optimal inequalities. https://arxiv.org/abs/2409.01636

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