On the upper bound of exterior curvatures for some classes of multidimensional surfaces in \(n\)-dimensional Lobachevsky space (Q1901958)
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scientific article; zbMATH DE number 815680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the upper bound of exterior curvatures for some classes of multidimensional surfaces in \(n\)-dimensional Lobachevsky space |
scientific article; zbMATH DE number 815680 |
Statements
On the upper bound of exterior curvatures for some classes of multidimensional surfaces in \(n\)-dimensional Lobachevsky space (English)
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3 January 1996
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Multidimensional surfaces in the Beltrami-Klein interpretation of Lobachevsky space are studied. A relation between the first and second quadratic forms of the corresponding surfaces in Euclidean and Lobachevsky spaces is found. The behavior of the extrinsic curvature of surfaces in Lobachevsky space at infinity is also considered.
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multidimensional surfaces
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Beltrami-Klein interpretation
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Lobachevsky space
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0.7781811952590942
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