(n-2)-tightness and curvature of submanifolds with boundary.

Kühnel, Wolfgang

Displaying similar documents to “(n-2)-tightness and curvature of submanifolds with boundary.”

On the total (non absolute) curvature of a even dimensional submanifold X immersed in R.

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.

Null 2-type space-like submanifolds of $E_{t}^{5}$ with normalized parallel mean curvature vector.

Dursun, Uǧur (2006)

Balkan Journal of Geometry and its Applications (BJGA)

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Slant submanifolds with prescribed scalar curvature into cosymplectic space form.

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

Balkan Journal of Geometry and its Applications (BJGA)

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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 $N^{m} (c)$ .