Symmetric curvature-like tensors on a semi-definite Kähler manifolds (Q2703570)
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scientific article
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| English | Symmetric curvature-like tensors on a semi-definite Kähler manifolds |
scientific article |
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7 March 2001
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indefinite Kähler manifolds
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curvature tensor
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locally symmetric curvature
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Symmetric curvature-like tensors on a semi-definite Kähler manifolds (English)
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In addition to the Riemann curvature tensor there are other kinds of algebraic curvature tensors defined on Riemannian manifods with special significance. (For instance the Weyl curvature tensor). A kind of complex version of those algebraic curvature tensors are also studied in the framework of Kähler geometry, such us the Bochner curvature tensor. NEWLINENEWLINENEWLINEIn the paper under review, the authors investigate some curvature relations, with special attention to parallelizability on indefinite Kähler manifolds with attention to Weyl and Bochner curvature tensors.
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