On some connections on locally product Riemannian manifolds. I (Q2853220)
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scientific article; zbMATH DE number 6217173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some connections on locally product Riemannian manifolds. I |
scientific article; zbMATH DE number 6217173 |
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18 October 2013
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almost product space
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structure tensor
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projective connection
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semi-symmetric metric connection
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holomorphically projective connection
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mirror connection
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product semi-symmetric metric connection
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0.9812832
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0.9073142
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0.90709865
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0.90363216
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0.90273786
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0.8991677
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0.89649576
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On some connections on locally product Riemannian manifolds. I (English)
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The author studies the following connections on an almost product Riemannian manifold: projective connections, holomorphically-projective connections, semi-symmetric metric connections, mirror connections and product semi-symmetric metric connections. The extensions of the Riemannian connection and these previously mentioned connections from a submanifold of a Riemannian manifold to the ambient space are realized. To achieve this goal the method promoted by Kentaro Yano is applied. If the space is decomposable, the induced connection on the supplement of the submanifold is considered.
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