Deformation of submanifolds of real projective space (Q796118)
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scientific article; zbMATH DE number 3864005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deformation of submanifolds of real projective space |
scientific article; zbMATH DE number 3864005 |
Statements
Deformation of submanifolds of real projective space (English)
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1985
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We prove that two surfaces in \({\mathbb{R}}P^ 3\) are projective deformations of each other (in the sense of E. Cartan) if and only if their induced projective structures are equivalent with respect to the Frenet framing. This result gives a projective generalization of molding surfaces.
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projective deformations
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Frenet framing
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molding surfaces
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