Uniqueness and non-existence of minimal submanifolds
Differential Geometry
2016-06-23 v1
Abstract
We provide uniqueness results for compact minimal submanifolds in a large class of Riemannian manifolds of arbitrary dimension. In the case compact and Cartan-Hadamard manifolds we obtain general results for these submanifolds. Several applications to Geometric Analysis are also showed.
Keywords
Cite
@article{arxiv.1606.06755,
title = {Uniqueness and non-existence of minimal submanifolds},
author = {R. M. Rubio and J. J. Salamanca},
journal= {arXiv preprint arXiv:1606.06755},
year = {2016}
}