Codimension one totally geodesic foliations of \(H^ n\) (Q795346)
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scientific article; zbMATH DE number 3861958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Codimension one totally geodesic foliations of \(H^ n\) |
scientific article; zbMATH DE number 3861958 |
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Codimension one totally geodesic foliations of \(H^ n\) (English)
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1984
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The codimension-one totally geodesic foliations, including non-smooth ones, of n-dimensional hyperbolic space are classified up to a rigid motion of the hyperbolic space. Several interesting preliminary results are obtained for totally geodesic foliations of Hadamard manifolds before specializing to the constant negative curvature case. This classification should prove useful in the problem of classifying isometric immersions of codimension one between hyperbolic spaces.
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totally geodesic foliations
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hyperbolic space
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Hadamard manifolds
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isometric immersions
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0.9429461
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0.9370194
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0.9177129
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0.9176628
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0.9169863
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