On the maximal spacelike submanifolds of a pseudo-Riemannian quasi constant curvature manifold.
Chen, Xiaoyan, Sun, Huafei, Zhu, Li (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space”
On the maximal spacelike submanifolds of a pseudo-Riemannian quasi constant curvature manifold.
Submanifold theory and parallel transport
Franki Dillen, Johan Fastenakels, Stefan Haesen, Joeri Van der Veken, Leopold Verstraelen (2013)
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Totally umbilical pseudo-Riemannian submanifolds of the paracomplex projective space
P. M. Gadea, A. Montesinos Amilibia (1994)
Czechoslovak Mathematical Journal
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Characterization of the Pseudo-symmetries of Ideal Wintgen Submanifolds of Dimension 3
Ryszard Deszcz, Miroslava Petrović-Torgašev, Zerrin Şentürk, Leopold Verstraelen (2010)
Publications de l'Institut Mathématique
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Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
Khan, M. A., Uddin, Siraj, Singh, Khushwant (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 53C40, 53B25. In the present note we study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold.
Pseudo-umbilical spacelike submanifolds in the indefinite space form.
Cao, Xi-Fang (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
Jun-ichi Inoguchi, Ji-Eun Lee (2012)
Archivum Mathematicum
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We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.
On totally umbilical submanifolds of conformally birecurrent manifolds
Ryszard Deszcz, Stanisław Ewert-Krzemieniewski, Jerzy Policht (1988)
Colloquium Mathematicae
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Ricci and Casorati principal directions of Chen ideal submanifolds
Simona Decu, Anica Pantić, Miroslava Petrović-Torgašev, Leopold Verstraelen (2013)
Kragujevac Journal of Mathematics
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A pinching theorem on complete submanifolds with parallel mean curvature vectors
Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...