Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms

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International Electronic Journal of Geometry
Volume:16 Issue:1
Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms

Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms

Authors : Marius MİREA

Pages : 201-207

Doi:10.36890/iejg.1259890

View : 60 | Download : 8

Publication Date : 2023-04-30

Article Type : Research Paper

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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