A parametrization of isometric immersions between hyperbolic spaces (Q678574)
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scientific article; zbMATH DE number 1003881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A parametrization of isometric immersions between hyperbolic spaces |
scientific article; zbMATH DE number 1003881 |
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A parametrization of isometric immersions between hyperbolic spaces (English)
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14 July 1997
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The authors study isometric immersions of a hyperbolic space form \(H^n\) into \(H^{n+1}\). They parametrize the space of such immersions by a countable family of n-tuples of real-valued functions. Moreover they construct a one-parameter family of deformable isometric immersions of a 2-dimensional quotient manifold (\(H^2\) modulo some Klein groups) into \(H^3\).
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isometric immersions of hyperbolic space forms
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Klein group
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deformation of isometric immersions
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