Conformal deformations preserving the Gauss map (Q1204320)
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scientific article; zbMATH DE number 130357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal deformations preserving the Gauss map |
scientific article; zbMATH DE number 130357 |
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Conformal deformations preserving the Gauss map (English)
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7 March 1993
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We establish conditions on a conformal immersion of a Riemannian manifold in the Euclidean space for the existence of another conformal immersion with the same Gauss map. For surfaces in \(\mathbb{R}^ 3\) these conditions are expressed by a partial differential equation envolving the principal curvatures.
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conformal immersion
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Gauss map
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