This article is cited in 16 papers

Generalized Gray–Hervella classes and holomorphically projective transformations of generalized almost-Hermitian structures

V. F. Kirichenko


Abstract: We obtain a new description and a natural generalization of Gray–Hervella classes in the case of generalized almost-Hermitian structures. We study the singularities of holomorphically projective transformations of structures of these classes. In particular, we construct certain invariants of these transformations. We study the behaviour of Gray–Hervella classes under such transformations and, in particular, we find the classes invariant under them.

UDC: 514.76

MSC: 53C10, 53C05, 53C55, 53C15, 53B35

Received: 15.09.2004

DOI: 10.4213/im656

 English version: Izvestiya: Mathematics, 2005, 69:5, 963–987

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