Conformal deformation of Riemannian metrics with area elements of zero curvature on a compact manifold. (Q1432321)
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scientific article; zbMATH DE number 2074625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal deformation of Riemannian metrics with area elements of zero curvature on a compact manifold. |
scientific article; zbMATH DE number 2074625 |
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Conformal deformation of Riemannian metrics with area elements of zero curvature on a compact manifold. (English)
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15 June 2004
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The authors consider Riemannian manifolds that have planes with zero sectional curvature at all points. They show that some of these planes retain their zero curvature under conformal changes of the metric and under deformations given by the gradient of a function on the manifold.
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compact Riemannian manifolds
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conformal deformations
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sectional curvature
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0.8880993723869324
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0.7357469201087952
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0.7357466816902161
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