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arXiv · 2306.02650

Characterizations of pseudo-umbilical submanifolds of locally product Riemannian manifolds

Ayhan Aksoy
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Abstract

Compared to totally umbilical submanifolds, studies on pseudo-umbilical submanifolds are quite limited. In this paper, pseudo-umbilical submanifolds of locally product Riemannian manifolds are studied. Necessary and sufficient conditions for a pseudo umbilical submanifold to be invariant, or anti-invariant or semi-invariant submanifold are obtained by using projections arisen from the product structure of a locally product Riemannian manifold.

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Ayhan Aksoy. 2023-06-05. Characterizations of pseudo-umbilical submanifolds of locally product Riemannian manifolds. https://arxiv.org/abs/2306.02650

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