The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank (Q2750900)
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scientific article; zbMATH DE number 1663145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank |
scientific article; zbMATH DE number 1663145 |
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The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank (English)
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21 October 2001
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even dimensional compact manifold
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sectional curvature
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Euler characteristic
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0.89944255
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0.8916025
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0.8878701
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0.8876058
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0.88668185
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0.87896323
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This paper proves that an even dimensional compact manifold with positive (nonnegative) sectional curvature has positive (nonnegative) Euler characteristic if the manifold has an action of a compact Lie group satisfying appropriate conditions.
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