A fixed point theorem (Q5906772)
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scientific article; zbMATH DE number 1026248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point theorem |
scientific article; zbMATH DE number 1026248 |
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A fixed point theorem (English)
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15 September 1997
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We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
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fixed point theorem
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non-negatively curved Riemannian manifold
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homogeneous spaces
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immersions of homogeneous spaces into spheres
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