First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions |
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Authors: | Miguel A Meroño Irene Ortiz |
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Institution: | Departamento de Matemáticas, Universidad de Murcia, E-30100 Espinardo, Murcia, Spain |
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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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Keywords: | Constant mean curvature Killing submersions First stability eigenvalue Hopf tori |
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