A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds

A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection. From submanifold point of view, parallel submanifolds are the simplest Riemannian submanifolds next to totally geode...

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Bibliographic Details
Main Author: Bang-Yen Chen
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/8/4/120