On some connections on locally product Riemannian manifolds. II (Q2853221)
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scientific article; zbMATH DE number 6217174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some connections on locally product Riemannian manifolds. II |
scientific article; zbMATH DE number 6217174 |
Statements
18 October 2013
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almost product space
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structure tensor
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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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On some connections on locally product Riemannian manifolds. II (English)
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A projective connection and a holomorphically projective connection, on a space with affine connection or on a space that is locally a product of spaces with affine connections, have curvature-like tensors independent of their generators. The author presents a method for the calculation of these invariants and obtains holomorphically projective curvature tensor whose form is different from the one obtained by other authors. The same problem is discussed for the product of semi-symmetric metric connections. Some relations between geometric quantities expressed in terms of a holomorphically projective connection and a mirror connection on a locally decomposable Riemannian space are considered.
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