The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra (Q483429)
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scientific article; zbMATH DE number 6381077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra |
scientific article; zbMATH DE number 6381077 |
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The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra (English)
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17 December 2014
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The author continues the investigations of 6-dimensional Hermitian submanifolds of the Cayley algebra from previous papers. Here, it is proved that if such a submanifold satisfies the Kenmotsu hypersurface axiom (that is, a Kenmotsu hypersurface passes through any point of the submanifold), then it is locally symmetric and of Ricci type.
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Hermitian submanifold
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Cayley algebra
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locally symmetric submanifold
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