Hypersurfaces of E^4_s with proper mean curvature vector

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概要

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• Submanifolds satisfying Δ$¥vec H$=λ$¥vec H$ are named by B. Y. Chen submanifolds with proper mean curvature vector. We prove that a hypersurface of the pseudo-Euclidean space Es4 with Δ$¥vec H$=λ$¥vec H$ and diagonalizable shape operator, has constant mean curvature.

• 2007-07-01

著者

• Defever Filip

  Department Iw&t Kath. Hogeschool Brugge-oostende

• ARVANITOYEORGOS Andreas

  Department of Mathematics University of Patras

• KAIMAKAMIS George

  Hellenic Army Academy

関連論文

• Hypersurfaces of E^4_s with proper mean curvature vector

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