Integral geometry of equidistants in hyperbolic space (Q1775476)
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scientific article; zbMATH DE number 2164544
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral geometry of equidistants in hyperbolic space |
scientific article; zbMATH DE number 2164544 |
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Integral geometry of equidistants in hyperbolic space (English)
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3 May 2005
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This paper derives integral-geometric formulae for the intersection of a fixed compact hypersurface of hyperbolic space and a moving totally umbilic hypersurface. The mean value of the volume, total mean curvatures, and Euler characteristic of the intersections are computed.
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moving totally umbilic hypersurface
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total mean curvatures
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Euler characteristic
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intersections
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0.94971573
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0.93073267
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0.9015717
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0.8998991
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0.89744395
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0.8937184
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0.8924239
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