Bochner-Simons formulas and the rigidity of biharmonic submanifolds
Differential Geometry
2018-01-25 v1
Abstract
We find some integral formulas of Simons and Bochner type and use them to study biharmonic and biconservative submanifolds in space forms. We obtain rigidity results that in the biharmonic case represent partial answers to two well-known conjectures on such submanifolds in spheres.
Keywords
Cite
@article{arxiv.1801.07879,
title = {Bochner-Simons formulas and the rigidity of biharmonic submanifolds},
author = {Dorel Fetcu and Eric Loubeau and Cezar Oniciuc},
journal= {arXiv preprint arXiv:1801.07879},
year = {2018}
}
Comments
19 pages