Minimal cones and the spherical Bernstein problem. II (Q789027)
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scientific article; zbMATH DE number 3844574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal cones and the spherical Bernstein problem. II |
scientific article; zbMATH DE number 3844574 |
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Minimal cones and the spherical Bernstein problem. II (English)
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1983
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The results of the author [cf. part I, Ann. Math., II. Ser. 118, 61-73 (1983; Zbl 0522.53051)] are extended by new analytic techniques to produce fifteen new families of minimally embedded hyperspheres in spheres of dimension \(\leq 14\). (Note that H. Karcher and the reviewer have obtained examples for infinitely many spheres of odd dimension \(\geq 15.)\)
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minimal surfaces
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equivariant Riemannian geometry
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minimal cones
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Poincaré-Bendixson method
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