Classification of two-dimensional surfaces with zero normal torsion in four-dimensional spaces of constant curvature (Q1889659)
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scientific article; zbMATH DE number 2121414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of two-dimensional surfaces with zero normal torsion in four-dimensional spaces of constant curvature |
scientific article; zbMATH DE number 2121414 |
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Classification of two-dimensional surfaces with zero normal torsion in four-dimensional spaces of constant curvature (English)
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7 December 2004
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A notion of normal torsion at a point along an asymptotic direction of a two-dimensional surface in a Riemannian space is introduced. A complete description of two-dimensional surfaces without asymptotic directions with zero normal torsion at any point and any direction in the surface is given, for a four-dimensional Riemannian space of constant curvature.
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normal torsion
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Riemannian space
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spaces of constant curvature
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asymptotic direction
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covariant derivative
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flat normal connection
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totally geodesic hypersurface
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