Bertrand surfaces with a pseudo-Riemannian metric of revolution (Q493892)
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scientific article; zbMATH DE number 6478681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bertrand surfaces with a pseudo-Riemannian metric of revolution |
scientific article; zbMATH DE number 6478681 |
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Bertrand surfaces with a pseudo-Riemannian metric of revolution (English)
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4 September 2015
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The author gives a generalization of the classic Bertrand theorem to surfaces of revolution with a pseudo-Riemannian metric. The problem of realizability of Bertrand manifolds with pseudo-Riemannian metrics as surfaces of revolution in \(\mathbb{R}_{2}^{3}\) is also studied.
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Bertrand theorem
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surfaces of revolution
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pseudo-Riemannian metric
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