Dept. Math, Hokkaido Univ. EPrints Server

The horospherical geomoetry of submanifolds in hyperbolic space

Preprint Series # 640
Izumiya, Shyuichi and Pei, Donghe and Romero Fuster, M. C. and Takahashi, Masatomo The horospherical geomoetry of submanifolds in hyperbolic space. (2004);

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Abstract

We study some geometrical properties associated to the contact of submanifolds with hyperhorospheres in hyperbolic $n$-space as an application of the theory of Legendrian singularities.

Item Type:Preprint
Uncontrolled Keywords:horospherical geometry, horospherical height function, hyperbolic canal hypersurface, Legendrian singularities
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:145