On stable compact minimal submanifolds
Differential Geometry
2010-12-06 v1
Abstract
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the stable compact minimal submanifolds of the product of two spheres is obtained. Also, it is proved that the only stable compact minimal surfaces of the product of a 2-sphere and any Riemann surface are the complex ones.
Keywords
Cite
@article{arxiv.1012.0679,
title = {On stable compact minimal submanifolds},
author = {Francisco Torralbo and Francisco Urbano},
journal= {arXiv preprint arXiv:1012.0679},
year = {2010}
}
Comments
9 pages