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THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE

Published online by Cambridge University Press:  24 May 2005

S. IZUMIYA ,
D. PEI ,
M. C. ROMERO FUSTER  and
M. TAKAHASHI
S. IZUMIYA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japanizumiya@math.sci.hokudai.ac.jp, takahashi@math.sci.hokudai.ac.jp
D. PEI
Affiliation:
Department of Mathematics, Northeast Normal University, Changchun 130024, Chinanorthlcd@public.cc.jl.cn, pei@math.sci.hokudai.ac.jp
M. C. ROMERO FUSTER
Affiliation:
Departament de Geometría i Topología, Universitat de València, 46100 Burjassot (València), Spaincarmen.romero@post.uv.es
M. TAKAHASHI
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japanizumiya@math.sci.hokudai.ac.jp, takahashi@math.sci.hokudai.ac.jp
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Abstract

Some geometrical properties associated to the contact of submanifolds with hyperhorospheres in hyperbolic $n$-space are studied as an application of the theory of Legendrian singularities.

Keywords

53A3558C2758C28
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 779 - 800
Copyright
The London Mathematical Society 2005

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