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On The Distribution Of Hypersurfaces Equidistant From Totally Geodesic Submanifolds In Hyperbolic Space by Leon Karp; Norbert Peyerimhoff is a Mathematics article available to read on EtoBox.
What is On The Distribution Of Hypersurfaces Equidistant From Totally Geodesic Submanifolds In Hyperbolic Space about?
Let M^ be the n-dimensional real hyperbolic space and tt : IH" M he the universal covering map of a compact Riemannian manifold M of constant curvature -1. Let P C be a fc-dimensional complete totally geodesic submanifold and P^ C M" be the corresponding tubulär hypersurface at distance r. In this article we prove that n(Pr) distributes increasingly uniformly in M as r oo. Using eigenspace decomposition of the Laplacian, this fact can be considered eis geometric application of the asymptotics of a particular ordinary difFerential equation.
Who reads On The Distribution Of Hypersurfaces Equidistant From Totally Geodesic Submanifolds In Hyperbolic Space?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Leon Karp; Norbert Peyerimhoff
- Publisher
- Walter de Gruyter GmbH
- Published
- 1998
- Language
- EN
- Field
- Mathematics (Physical Sciences)