Some classification theorems for submanifolds in Minkowski space-time

DOI10.1007/BF01198672zbMath0816.53035MaRDI QIDQ1842006

Bang-Yen Chen

Publication date: 18 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

mean curvature vectorhyperbolic spacede Sitter space-timeminimal submanifoldsRicci flatbiharmonic submanifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (6)

Submanifolds in de Sitter space-time satisfying \(\Delta H = \lambda H\) ⋮ H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces ⋮ Almost contact curves in normal almost contact 3-manifolds ⋮ \(B\)-scrolls with non-diagonalizable shape operators. ⋮ Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\) ⋮ Space-like surfaces in the Minkowski space \(\mathbb{E}_1^4\) with pointwise 1-type Gauss maps

Cites Work

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