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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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  • https://doi.org/10.4213/mzm8625
  • https://www.mathnet.ru/eng/mzm/v90/i1/p87
    • This publication is cited in the following 4 articles:
    1. O. E. Arseneva, M. B. Banaru, M. P. Burlakov, N. I. Guseva, A. R. Rustanov, S. V. Kharitonova, A.M. Shelekhov, “Vadim Fedorovich Kirichenko”, Materialy Mezhdunarodnoi konferentsii  «Klassicheskaya i sovremennaya geometriya»,  posvyaschennoi 100-letiyu so dnya rozhdeniya  professora Levona Sergeevicha Atanasyana  (15 iyulya 1921 g.—5 iyulya 1998 g.). Moskva, 1–4 noyabrya 2021 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 220, VINITI RAN, M., 2023, 3–16  mathnet  crossref
    2. Caliskan N., “On Conharmonic Curvature Tensor of Sasakian Finsler Structures on Tangent Bundles”, Commun. Fac. Sci. Univ. Ank.-Ser, A1 Math. Stat, 67:2 (2018), 282–290  crossref  mathscinet  isi
    3. M. B. Banaru, “On the Six-Dimensional Sphere with a Nearly Kählerian Structure”, Journal of Mathematical Sciences, 245:5 (2020), 553–567  mathnet  crossref  mathscinet
    4. Ali A.Sh., “K-postoyanstvo tipa NK-mnogoobraziya”, Prepodavatel KhKhI vek, 2011, no. 3-2, 204–208  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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