Characterizations of minimal hypersurfaces immersed in certain warped products
| Autor: | Eudes L. de Lima, Henrique F. de Lima, Eraldo A. Lima Jr, Adriano A. Medeiros |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Extracta Mathematicae, Vol 34, Iss 1 (2019) |
| Druh dokumentu: | article |
| ISSN: | 0213-8743 2605-5686 |
| Popis: | 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 ×ρ R, whose Riemannian base Mn has sectional curvature bounded from below and such that the warping function ρ ∈ 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. |
| Databáze: | Directory of Open Access Journals |
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