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This article is cited in 8 scientific papers (total in 8 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.
DOI:
https://doi.org/10.4213/im656
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English version:
Izvestiya: Mathematics, 2005, 69:5, 963–987
Bibliographic databases:
    
UDC:
514.76
MSC: 53C10, 53C05, 53C55, 53C15, 53B35
Received: 15.09.2004
Citation:
V. F. Kirichenko, “Generalized Gray–Hervella classes and holomorphically projective transformations of generalized almost-Hermitian structures”, Izv. RAN. Ser. Mat., 69:5 (2005), 107–132; Izv. Math., 69:5 (2005), 963–987
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/izv656https://doi.org/10.4213/im656 http://mi.mathnet.ru/eng/izv/v69/i5/p107
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E. A. Sulejmanova, “On the properties of holomorphically 2-geodesic transformations of the first linear type of almost Hermitian structures”, Russian Math. (Iz. VUZ), 51:12 (2007), 84–87
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S. V. Kharitonova, “On the Geometry of Locally Conformally Almost Cosymplectic Manifolds”, Math. Notes, 86:1 (2009), 121–131
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S. V. Kharitonova, “Almost $C(\lambda)$-manifolds”, J. Math. Sci., 177:5 (2011), 742–747
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A. V. Emelianov, V. F. Kirichenko, “On $\pi_2$ Almost Geodesic Mappings of Almost Hermitian Manifolds”, Math. Notes, 90:4 (2011), 498–505
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Emelyanov A.V., “O pochti geodezicheskikh otobrazheniyakh klassa $_2$ nekotorykh klassov $nk$-mnogoobrazii”, Izvestiya penzenskogo gosudarstvennogo pedagogicheskogo universiteta im. V.G. Belinskogo, 2011, no. 26, 93–97
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Lars Schäfer, “Conical Ricci-flat nearly para-Kähler manifolds”, Ann Glob Anal Geom, 2013
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Schaefer L., “Nearly Pseudo-Kahler Manifolds and Related Special Holonomies Introduction”: Schafer, L, Nearly Pseudo-Kahler Manifolds and Related Special Holonomies, Lect. Notes Math., Lecture Notes in Mathematics, 2201, Springer International Publishing Ag, 2017, 1+
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Gezer A., Turanli S., “On Nearly Parakahler Manifolds”, Bull. Korean. Math. Soc., 55:3 (2018), 871–879
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