S. V. Galaev, “Almost contact Kählerian manifolds of constant holomorphic sectional curvature”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 42–52; Russian Math. (Iz. VUZ), 58:8 (2014), 35

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 42–52 (Mi ivm8917)

This article is cited in 9 scientific papers (total in 9 papers)

Almost contact Kählerian manifolds of constant holomorphic sectional curvature

S. V. Galaev

Chair of Geometry, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia

Full-text PDF (213 kB) Citations (9)

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Abstract: The notion of an almost contact Kählerian structure is introduced. The holomorphic sectional curvature of a distribution of an almost contact Kählerian structure with respect to an interior metric connection is defined. The relation between the

φ

$\varphi$ -sectional curvature of an almost contact Kählerian manifold and the holomorphic sectional curvature of a distribution of an almost contact Kählerian structure is found.

Keywords: interior connection, extended connection, almost contact Kählerian space,

φ

$\varphi$ -sectional curvature of an almost contact Kählerian space, holomorphic sectional curvature of a distribution of an almost contact Kählerian structure.

Received: 23.01.2013

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X14080040

Bibliographic databases:

Document Type: Article

UDC: 514.764

Language: Russian

Citation: S. V. Galaev, “Almost contact Kählerian manifolds of constant holomorphic sectional curvature”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 42–52; Russian Math. (Iz. VUZ), 58:8 (2014), 35–42

Citation in format AMSBIB

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\pages 42--52

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\jour Russian Math. (Iz. VUZ)

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\pages 35--42

\crossref{https://doi.org/10.3103/S1066369X14080040}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904618029}

Linking options:

https://www.mathnet.ru/eng/ivm8917

https://www.mathnet.ru/eng/ivm/y2014/i8/p42

This publication is cited in the following 9 articles:

S. V. Galaev, “Geometriya pochti $3$ -kvazi-sasakievykh mnogoobrazii vtorogo roda”, 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 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 222, VINITI RAN, M., 2023, 3–9
S.V. Galaev, “Prolonged almost quazi-Sasakian structures”, Differ. Geom. Mnogoobr. Figur, 2021, no. 52, 63
S. V. Galaev, “Admissible hyper-complex pseudo-Hermitian structures”, Lobachevskii J. Math., 39:1, SI (2018), 71–76
S. V. Galaev, “ $N$ -extended symplectic connections in almost contact metric spaces”, Russian Math. (Iz. VUZ), 61:3 (2017), 12–19
S. V. Galaev, “O raspredeleniyakh so spetsialnoi kvazi-sasakievoi strukturoi”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2017, no. 2(39), 6–17
S. V. Galaev, “Dopustimye giperkompleksnye struktury na raspredeleniyakh sasakievykh mnogoobrazii”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 16:3 (2016), 263–272
S. V. Galaev, “Obobschennyi tenzor krivizny Vagnera pochti kontaktnykh metricheskikh prostranstv”, Chebyshevskii sb., 17:3 (2016), 53–63
S. V. Galaev, Yu. V. Shevtsova, “Pochti kontaktnye metricheskie struktury, opredelyaemye simplekticheskoi svyaznostyu nad raspredeleniem”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 15:2 (2015), 136–141
S. V. Galaev, “Pochti kontaktnye metricheskie prostranstva s $N$ -svyaznostyu”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 15:3 (2015), 258–264

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Russian Mathematics (Izvestiya VUZ. Matematika)

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