Chen’s Biharmonic Conjecture and Submanifolds with Parallel Normalized Mean Curvature Vector

The well known Chen&#8217;s conjecture on biharmonic submanifolds in Euclidean spaces states that every biharmonic submanifold in a Euclidean space is a minimal one. For hypersurfaces, we know from Chen and Jiang that the conjecture is true for biharmonic surfaces in <inline-formula> <m...

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Bibliographic Details
Main Author: Bang-Yen Chen
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/8/710