Null 2-type space-like submanifolds of  with normalized parallel mean curvature vector.

Dursun, Uǧur

Displaying similar documents to “Null 2-type space-like submanifolds of $E_{t}^{5}$ with normalized parallel mean curvature vector.”

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Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)

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Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector.

Qing-ming Cheng (1991)

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Haesen, Stefan, Verpoort, Steven (2010)

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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...

Topology and geometry of complete submanifolds in euclidean spaces

Qing-Ming Cheng (2005)

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This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.

Curvature contents of geometric spaces.

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A. M. Naveira (1994)

Revista Matemática de la Universidad Complutense de Madrid

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The total curvatures of the submanifolds immersed in the Euclidean space have been studied mainly by Santaló and Chern-Kuiper. In this paper we give geometrical and topological interpretation of the total (non absolute) curvatures of the even dimensional submanifolds immersed in R. This gives a generalization of two results obtained by Santaló.

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Wolfgang Kühnel (1979)

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A pointwise inequality in submanifold theory

P. J. De Smet, F. Dillen, Leopold C. A. Verstraelen, L. Vrancken (1999)

Archivum Mathematicum

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We obtain a pointwise inequality valid for all submanifolds $M^{n}$ of all real space forms $N^{n + 2} (c)$ with $n \geq 2$ and with codimension two, relating its main scalar invariants, namely, its scalar curvature from the intrinsic geometry of $M^{n}$ , and its squared mean curvature and its scalar normal curvature from the extrinsic geometry of $M^{n}$ in $N^{m} (c)$ .

Displaying similar documents to “Null 2-type space-like submanifolds of E t 5 with normalized parallel mean curvature vector.”

Displaying similar documents to “Null 2-type space-like submanifolds of $E_{t}^{5}$ with normalized parallel mean curvature vector.”