Cut locus of the B-spheres (Q1064551)
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scientific article; zbMATH DE number 3919242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cut locus of the B-spheres |
scientific article; zbMATH DE number 3919242 |
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Cut locus of the B-spheres (English)
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1985
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The so-called Berger spheres are obtained by scaling the length of the fibers of the standard Hopf fibration \(S^{2n+1}\to CP^ n\). Extending work of \textit{T. Sakai} [Hokkaido Math. J. 10, 143-155 (1981; Zbl 0469.53041)], the author gives an explicit description of the cut loci and the diameters of these interesting Riemannian manifolds.
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Berger spheres
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Hopf fibration
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cut loci
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diameters
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