Symmetry of isometric embeddings of Riemannian manifolds and local scalar invariants (Q676400)
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scientific article; zbMATH DE number 992418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry of isometric embeddings of Riemannian manifolds and local scalar invariants |
scientific article; zbMATH DE number 992418 |
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Symmetry of isometric embeddings of Riemannian manifolds and local scalar invariants (English)
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15 September 1997
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The authors consider the system of PDE underlying local isometric embeddings of Riemannian manifolds into Euclidean spaces. The subjects are: 1) interrelations between infinitesimal symmetries (Lie-Bäcklund transformations) of the PDE and Killing fields, resp. infinitesimal bendings; 2) interrelations between infinitesimal scalar invariants of the PDE and extrinsic, resp. intrinsic invariants of the isometric embedding.
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infinitesimal symmetry
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Killing fields
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infinitesimal bendings
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scalar invariants
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isometric embedding
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0.8048738241195679
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0.7966818809509277
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0.790558934211731
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