An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space (Q1810234)
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scientific article; zbMATH DE number 1928323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space |
scientific article; zbMATH DE number 1928323 |
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An expression for the Riemann tensor of a submanifold given by a system of equations in a Riemannian space (English)
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15 June 2003
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The author derives an expression for the Riemann tensor of a submanifold of a general Riemannian manifold. In particular, he proves a formula for the internal curvature of a \(2\)-surface in a \(3\)-dimensional Riemannian manifold.
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Riemannian space
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Riemann tensor
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curvature
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0.97316986
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