Index Estimates for Surfaces with Constant Mean Curvature in $3$-dimensional Manifolds
Differential Geometry
2019-01-30 v2
Abstract
We prove index estimates for closed and free boundary CMC surfaces in certain -dimensional submanifolds of some Euclidean space. When the mean curvature is large enough we are able to prove that the index of a CMC surface in an arbitrary -manifold is bounded below by a linear function of its genus.
Keywords
Cite
@article{arxiv.1901.00944,
title = {Index Estimates for Surfaces with Constant Mean Curvature in $3$-dimensional Manifolds},
author = {Nicolau S. Aiex and Han Hong},
journal= {arXiv preprint arXiv:1901.00944},
year = {2019}
}
Comments
19 pages, minor corrections and further applications