First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions
Differential Geometry
2013-10-16 v1
Abstract
We find out upper bounds for the first eigenvalue of the stability operator for compact constant mean curvature orientable surfaces immersed in a Riemannian Killing submersion. As a consequence, the strong stability of such surfaces is studied. We also characterize constant mean curvature Hopf tori as the only ones attaining the bound in certain cases.
Keywords
Cite
@article{arxiv.1310.4008,
title = {First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions},
author = {Miguel A. Meroño and Irene Ortiz},
journal= {arXiv preprint arXiv:1310.4008},
year = {2013}
}