English

Some recent progress of biharmonic submanifolds

Differential Geometry 2015-12-01 v1

Abstract

In this note, we give a brief survey on some recent developments of biharmonic submanifolds. After reviewing some recent progress on Chen's biharmonic conjecture, the Generalized Chen's conjecture on biharmonic submanifolds of non-positively curved manifolds, and some classifications of biharmonic submanifolds of spheres, we give a short list of some open problems in this topic.

Keywords

Cite

@article{arxiv.1511.09103,
  title  = {Some recent progress of biharmonic submanifolds},
  author = {Ye-Lin Ou},
  journal= {arXiv preprint arXiv:1511.09103},
  year   = {2015}
}

Comments

15 pages

R2 v1 2026-06-22T11:56:48.051Z