Geodesic
On the geometry of conharmonic curvature tensor for nearly K\"ahler manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 43-54

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We study additional symmetry properties for harmonic curvature tensor of nearly Kähler manifold. An exhaustive description for conharmonically para-Kählerian, nearly Kählerian manifolds and conharmonically flat, nearly Kählerian manifolds is obtained. 
@article{FPM_2010_16_2_a4,
     author = {V. F. Kirichenko and A. A. Shihab},
     title = {On the geometry of conharmonic curvature tensor for nearly {K\"ahler} manifolds},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {43--54},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a4/}
}
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V. F. Kirichenko; A. A. Shihab. On the geometry of conharmonic curvature tensor for nearly K\"ahler manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 43-54. http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a4/