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Nonpositively curved manifolds containing a prescribed nonpositively curved hypersurface
Nonpositively curved manifolds prescribed nonpositively curved hypersurface Differential Geometry
2012/6/9
We use pinched smooth hyperbolization to show that every closed, nonpositively curved $n$-dimensional manifold $M$ can be embedded as a totally geodesic submanifold of a closed, nonpositively curved $...
The Pitch and the Angle of Pitch of a Closed Nonnull Ruled Hypersurface Whose Generator is Spacelike in Rk+21
Nonnull Ruled Hypersurface Rk+21
2010/3/1
In this paper, the pitch and the angle of pitch of a closed nonnull ruled hypersurface whose generators are spacelike are calculated in Rk+21 .
The Hessian Tensor on a Hypersurface in Euclidean Space and Otsuki's Lemma
Hypersurface Euclidean Space Otsuki's Lemma
2010/3/5
The purpose of this paper is to obtain a condition for a hypersurface in Euclidean space with belongs to Hessian Tensor and is to give an alternative proof of Otsuki's lemma by applying this condition...