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arXiv · 1310.4008

First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions

Miguel A. Meroño·Irene Ortiz
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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.

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Miguel A. Meroño, Irene Ortiz. 2013-10-15. First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions. https://arxiv.org/abs/1310.4008

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