On Weingarten surfaces in Euclidean and Lorentzian 3-space (Q980901)
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scientific article; zbMATH DE number 5731966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Weingarten surfaces in Euclidean and Lorentzian 3-space |
scientific article; zbMATH DE number 5731966 |
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On Weingarten surfaces in Euclidean and Lorentzian 3-space (English)
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8 July 2010
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From the authors' abstract: Several uniqueness results for the space-like slices in certain Robertson-Walker space-times are proved under boundedness assumptions either on the mean curvature function of the space-like surface or on the restriction of the time coordinate on the surface when the mean curvature is a constant. In the nonparametric case, a uniqueness and a nonexistence result are proved for bounded entire solutions of some constant mean curvature space-like differential equations.
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mean curvature
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space-like surface
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Robertson-Walker space-time
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Calabi-Bernstein's problem
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