Gap results for biharmonic submanifolds in spheres
Differential Geometry
2024-03-18 v1
Abstract
In this paper we determine a larger gap of the mean curvature for a class of proper biharmonic submanifolds with parallel mean curvature vector field in Euclidean spheres. When the bounds of the gap are reached, we obtain splitting results of the submanifold.
Cite
@article{arxiv.2403.10155,
title = {Gap results for biharmonic submanifolds in spheres},
author = {Stefan Andronic and Simona Nistor},
journal= {arXiv preprint arXiv:2403.10155},
year = {2024}
}
Comments
35 pages