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A short survey on biharmonic Riemannian submersions

Differential Geometry 2024-07-23 v1

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. 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

Cite

@article{arxiv.2407.15269,
  title  = {A short survey on biharmonic Riemannian submersions},
  author = {Ye-Lin Ou},
  journal= {arXiv preprint arXiv:2407.15269},
  year   = {2024}
}