A Short Survey on Biharmonic Riemannian Submersions

Year 2024, Volume: 17 Issue: 1, 259 - 266, 23.04.2024

Ye-lin Ou

https://doi.org/10.36890/iejg.1429642

Abstract

The study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein). This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a dual concept of biharmonic submanifolds (i.e., biharmonic isometric immersions).

Keywords

Biharmonic maps, biharmonic Riemannian submersions, BCV spaces, Thurston

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