Infinitesimal rotational transformations and deformations of surfaces in Euclidean space (Q1363256)
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scientific article; zbMATH DE number 1050476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitesimal rotational transformations and deformations of surfaces in Euclidean space |
scientific article; zbMATH DE number 1050476 |
Statements
Infinitesimal rotational transformations and deformations of surfaces in Euclidean space (English)
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8 October 1997
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The author studies infinitesimal rotational transformations and deformations of surfaces in Euclidean space which are characterized by the following geometric property: every geodesic curve is mapped into a curve that is mainly an isoperimetric extremal of rotation. Their main equations are deduced and the conformal case is studied in detail. A connection between infinitesimal rotational conformal deformations and the theory of thin shells is pointed out.
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geodesics
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isoperimetric extremals
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infinitesimal transformations
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deformation of surfaces
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conformal deformation
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theory of thin shells
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0.9108106
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0.9086602
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0.8991306
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0.8941945
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0.8941165
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0.89013076
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