Hypersurfaces of Es4 with proper mean curvature vector

Andreas Arvanitoyeorgos; Filip Defever; George Kaimakamis

doi:10.2969/jmsj/05930797

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Hypersurfaces of E_s⁴ with proper mean curvature vector

Andreas Arvanitoyeorgos, Filip Defever, George Kaimakamis

著者情報

キーワード: biharmonic submanifold, minimal hypersurface, pseudo-Euclidean space

ジャーナルフリー

2007 年 59 巻 3 号 p. 797-809

DOI https://doi.org/10.2969/jmsj/05930797

詳細

抄録

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 E_s⁴ with Δ$¥vec H$=λ$¥vec H$ and diagonalizable shape operator, has constant mean curvature.