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|Title:||Characterizations of minimal hypersurfaces immersed in certain warped products|
|Authors:||Lima, Eudes L. de|
Lima, Henrique F. de
Lima, Eraldo A.
Medeiros, Adriano A.
|Keywords:||Killing warped product;Constant mean curvature hypersurfaces;Minimal hypersurfaces;Totally geodesic hypersurfaces;Hipersuperficies de curvatura media constante;Hipersuperficies mínimas;Hipersuperficies totalmente geodésicas|
|Publisher:||Universidad de Extremadura|
|Abstract:||Our purpose in this paper is to investigate when a complete two-sided hypersurface immersed with constant mean curvature in a Killing warped product Mⁿ X ⍴ℝ, whose Riemannian base Mⁿ has sectional curvature bounded from below and such that the warping function ⍴ ∈ C∞(M) is supposed to be concave, is minimal (and, in particular, totally geodesic) in the ambient space. Our approach is based on the application of the well known generalized maximum principle of Omori-Yau.|
|Appears in Collections:||Extracta Mathematicae Vol. 34, nº 1 (2019)|
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