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almost Hermitian manifold; antiholomorphic curvature tensor; conformal change of metric

References:

[1] Ganchev, G.: **Almost Hermitian manifolds similar to the complex space forms**. C. R. Acad. Bulg. Sci., 32, 1979, 1179-1182, MR 0562931

[2] Ganchev, G.: **Bochner curvature tensors in almost Hermitian manifolds**. PLISKA, Stud. Math. Bulg., 9, 1987, 33-43, MR 0892678 | Zbl 0622.53013

[3] Mikeš, J., Kiosak, V., Vanžurová, A.: **Geodesic Mappings of Manifolds with Affine Connection**. 2008, Palacký University, Faculty of Science, Olomouc, MR 2488821 | Zbl 1176.53004

[4] Prvanović, M.: **On the cutvature tensor of Kähler type in an almost Hermitian and almost anti-Hermitian manifolds**. Mat. Vasnik, 50, 1998, 57-64, MR 1640886

[5] Prvanović, M.: **Some applications of the holomorphic curvature tensor**. Tensor, N.S., 66, 2005, 101-112, MR 2165152

[6] Prvanović, M.: **Conformally invariant tensors of an almost Hermitian manifold associated with the holomorphic curvature tensor**. J. Geom., 103, 2012, 89-101, DOI 10.1007/s00022-012-0111-9 | MR 2944551 | Zbl 1259.53029

[7] Tricerrri, F., Vanhecke, L.: **Curvature tensors on almost Hermitian manifolds**. Trans. Amer. Math. Soc., 267, 1981, 365-398, DOI 10.1090/S0002-9947-1981-0626479-0 | MR 0626479