On biconservative Lorentz hypersurface with non-diagonalizable shape operator

DOI10.1007/S00009-017-0926-6zbMath1376.53080arXiv1610.03005OpenAlexW3102549954MaRDI QIDQ1674205

Deepika

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03005

zbMATH Keywords

mean curvature vectorpseudo-Euclidean spacebiharmonic submanifoldsbiconservative hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Non-Euclidean differential geometry (53A35)

Related Items (4)

Biconservative ideal hypersurfaces in Euclidean spaces ⋮ Biharmonic \(\delta (r)\)-ideal hypersurfaces in Euclidean spaces are minimal ⋮ Biconservative hypersurfaces in \(\mathbb{E}^4_1\) with non-diagonalizable shape operator ⋮ Biconservative hypersurfaces in Minkowski 5-space

Cites Work

• Proper biconservative immersions into the Euclidean space
• CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
• H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces
• Biharmonic ideal hypersurfaces in Euclidean spaces
• On bi-conservative surfaces in Minkowski 3-space
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Lorentzian isoparametric hypersurfaces
• Total Mean Curvature and Submanifolds of Finite Type
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
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