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On the decomposition of curvature tensor fields on Hermitian manifolds. (English) Zbl 0797.53017
Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 555-568 (1992).
By taking into account N. Bokan’s paper [Colloq. Math. Soc. János Bolyai 46, 213-239 (1988; Zbl 0638.53018)], a complete decomposition of the curvature tensor fields in holomorphically projective geometry under the action of the unitary groups is obtained here and therefore Hermitian manifolds with symmetric connections are studied.
For the entire collection see [Zbl 0764.00002].
Reviewer: C.-L.Tiba (Iaşi)

MSC:
53B35 Local differential geometry of Hermitian and Kählerian structures
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