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Stable Minimal Surfaces in Riemannian Warped Products

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Author
Aledo, Juan A.
Rubio, Rafael M.
Publisher
Springer
Date
2017
Subject
Minimal stable surface
Riemannian warped product
Bernstein problem
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Abstract
We obtain several stability results forminimal two-sided surfaces immersed in a wide class of 3-dimensional Riemannian warped products, which includes the class of Riemannian products. As a consequence, some Bernstein-type results are provided. Moreover, a non-existence theorem for a certain non-linear elliptic equation is obtained.
URI
http://hdl.handle.net/10396/21556
Fuente
The Journal of Geometric Analysis 27, 65–78 (2017)
Versión del Editor
https://doi.org/10.1007/s12220-015-9673-8
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