On some special surfaces related to convex surfaces of spaces of constant curvature. (Q1432679)
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scientific article; zbMATH DE number 2074935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some special surfaces related to convex surfaces of spaces of constant curvature. |
scientific article; zbMATH DE number 2074935 |
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On some special surfaces related to convex surfaces of spaces of constant curvature. (English)
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15 June 2004
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Let \(K\) be an arbitrary real number, and let \(E_K\) be a Riemannian space of dimension \(n\geq 2\) with constant sectional curvature \(K\) in every two-dimensional direction. Without proof 4 theorems concerning the space \(V\) of converse surfaces in an \(\mu\)-dimensional space \(E_k\) of constant sectional curvature are formulated.
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space form
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horosphere
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equidistant surface
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converse surfaces
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0.9188055
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0.90816206
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