On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds
Differential Geometry
2024-09-24 v2
Abstract
This paper establishes the conditions under which minimal and stable minimal hypersurfaces are characterized as hyperplanes in Euclidean spaces and as totally geodesic submanifolds in Riemannian manifolds.
Keywords
Cite
@article{arxiv.2409.04426,
title = {On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds},
author = {Josef Mikes and Sergey Stepanov and Irina Tsyganok},
journal= {arXiv preprint arXiv:2409.04426},
year = {2024}
}