Geodesic
Geometry of the Conharmonic Curvature Tensor of Almost Hermitian Manifolds
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 87-103

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We obtain a criterion for manifolds of dimension $4$ and greater to be conharmonically para-Kähler and the condition for a manifold to be conharmonically flat.
Keywords: almost Hermitian manifold, Riemannian structure, conharmonic curvature tensor, Kähler manifold, para-Kähler manifold, Riemannian metric, nearly Kähler structure, Riemannian curvature, Ricci tensor.
Mots-clés : $G$-structure 
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     author = {V. F. Kirichenko and A. R. Rustanov and A. A. Shikhab},
     title = {Geometry of the {Conharmonic} {Curvature} {Tensor} of {Almost} {Hermitian} {Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {87--103},
     publisher = {mathdoc},
     volume = {90},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a8/}
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V. F. Kirichenko; A. R. Rustanov; A. A. Shikhab. Geometry of the Conharmonic Curvature Tensor of Almost Hermitian Manifolds. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 87-103. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a8/