On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in \(S^ n(1)\) for all n\(\geq 3\) (Q1092429)
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scientific article; zbMATH DE number 4019946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in \(S^ n(1)\) for all n\(\geq 3\) |
scientific article; zbMATH DE number 4019946 |
Statements
On the construction of infinitely many congruence classes of imbedded closed minimal hypersurfaces in \(S^ n(1)\) for all n\(\geq 3\) (English)
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1987
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Using dimensional reduction the author shows: For each \(n\geq 4\) there exist infinitely many congruence classes of minimal imbeddings of \(S^ 1\times S^{n-2}\) (resp. \(S^ 2\times S^{n-3})\) into \(S^ n(1)\).
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homogeneous manifolds
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cohomogeneity
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orbit space geometry
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minimal imbeddings
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