Stable Minimal Surfaces in Riemannian Warped Products
Aledo, Juan A.
Rubio, Rafael M.
SubjectMinimal stable surface
Riemannian warped product
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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.