Abstract
The purpose of this article is to find out sharp estimates for the first eigenvalue of the stability operator for compact surfaces with constant mean curvature immersed into a Riemannian 3-manifold having a nowhere vanishing closed conformal vector field, and characterize the cases where the estimates are reached.
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This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Science and Technology Agency of the Región de Murcia. The author was partially supported by MICINN/FEDER project PGC2018-097046-B-I00 and Fundación Séneca project 19901/GERM/15, Spain.
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Meroño, M.Á. Sharp Estimates for the First Stability Eigenvalue of Surfaces in the Presence of a Closed Conformal Vector Field. Mediterr. J. Math. 17, 139 (2020). https://doi.org/10.1007/s00009-020-01569-5
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DOI: https://doi.org/10.1007/s00009-020-01569-5