First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions
Meroño, Miguel A. · Ortiz, Irene
Original · EN
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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