A Short Survey on Biharmonic Riemannian Submersions

Authors : Ye-lin Ou

Pages : 259-266

Doi:10.36890/iejg.1429642

View : 49 | Download : 77

Publication Date : 2024-04-23

Article Type : Research Paper

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