Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms

Year 2023, Volume: 16 Issue: 1, 201 - 207, 30.04.2023

Marius Mirea

https://doi.org/10.36890/iejg.1259890

Cited By: 1

Abstract

The class of isotropic submanifolds in pseudo-Riemannian manifolds is a distinguished family
of submanifolds; they have been studied by several authors. In this article we establish Chen
inequalities for isotropic immersions. An example of an isotropic immersion for which the equality
case in the Chen first inequality holds is given.

Keywords

Pseudo-Riemannian manifold, isotropic immersion, isotropic submanifold, spacelike submanifold, Chen inequalities

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