Kenmotsu 流形的双斜黎曼映射和一些最优不等式

arXiv - MATH - Differential Geometry Pub Date : 2024-09-03 DOI:arxiv-2409.01636

Adeeba Zaidi, Gauree Shanker

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引用次数: 0

摘要

在本文中，我们介绍了从黎曼流形到健莫流形的双斜黎曼映射，这些映射是不变、反不变、半不变、斜、半斜和半斜黎曼映射的自然广义，并举出了一些非难例。我们研究了这些映射，并给出了 $(rangeF_*)^\perp$ 的一些曲率关系。我们构建了从双斜黎曼流形到 Kenmotsuspace 形式的 Chen-Ricciine 不等式、DDVV 不等式，并进一步构建了一些涉及 Casorati 曲率的最优不等式。

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

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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arXiv - MATH - Differential Geometry

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