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On some classes of almost Hermitian structures on the tangent bundle. (English) Zbl 1081.53512

Shelekhov, A. (ed.), Webs and quasigroups, 2002. Tver: Tver State University (ISBN 5-7609-0221-0). 103-105 (2002).
Almost Hermitian structures of invariant type on the tangent bundle of an Hermitian manifold are considered. Some criteria for such a structure to belong to a Gray-Hervella class are obtained.
For the entire collection see [Zbl 1018.00009].

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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