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Geometry of the conharmonic curvature tensor of almost Hermitian manifolds

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Abstract

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.

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Correspondence to V. F. Kirichenko.

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Original Russian Text © V. F. Kirichenko, A. R. Rustanov, A. Shikhab, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 1, pp. 87–103.

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Kirichenko, V.F., Rustanov, A.R. & Shikhab, A. Geometry of the conharmonic curvature tensor of almost Hermitian manifolds. Math Notes 90, 79 (2011). https://doi.org/10.1134/S0001434611070091

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