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  • 标题:Characterizations of minimal hypersurfaces immersed in certain warped products
  • 本地全文:下载
  • 作者:E.L. DE LIMA ; H.F. DE LIMA ; E.A. LIMA JR
  • 期刊名称:Extracta Mathematicae
  • 印刷版ISSN:0213-8743
  • 出版年度:2019
  • 卷号:34
  • 期号:1
  • 页码:123-134
  • DOI:10.17398/2605-5686.34.1.123
  • 出版社:Universidad de Extremadura
  • 摘要: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 baseMn has sectional curvature bounded from below and such that the warping function ρ ∈ C∞(M) issupposed to be concave, is minimal (and, in particular, totally geodesic) in the ambient space. Ourapproach is based on the application of the well known generalized maximum principle of OmoriYa.
  • 关键词:Killing warped product; constant mean curvature hypersurfaces; minimal hypersurfaces;totally geodesic hypersurfaces
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