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Matematicheskie Zametki, 2011, Volume 90, Issue 1, Pages 87–103
DOI: https://doi.org/10.4213/mzm8625 (Mi mzm8625) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Geometry of the Conharmonic Curvature Tensor of Almost Hermitian Manifolds

V. F. Kirichenkoa, A. R. Rustanova, A. A. Shikhab

a Moscow State Pedagogical University
Full-text PDF (527 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8625
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.
Keywords: almost Hermitian manifold, Riemannian structure, conharmonic curvature tensor, Kähler manifold, para-Kähler manifold, Riemannian metric, nearly Kähler structure, $G$-structure, Riemannian curvature, Ricci tensor.
Received: 22.07.2009
English version:
Mathematical Notes, 2011, Volume 90, Issue 1, Pages 79–93
DOI: https://doi.org/10.1134/S0001434611070091
Bibliographic databases:
Document Type: Article
UDC: 514.764.21
Language: Russian
Citation: V. F. Kirichenko, A. R. Rustanov, A. A. Shikhab, “Geometry of the Conharmonic Curvature Tensor of Almost Hermitian Manifolds”, Mat. Zametki, 90:1 (2011), 87–103; Math. Notes, 90:1 (2011), 79–93
Citation in format AMSBIB
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\paper Geometry of the Conharmonic Curvature Tensor of Almost Hermitian Manifolds
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\pages 87--103
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\transl
\jour Math. Notes
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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