V. F. Kirichenko, O. E. Arsen'eva, A. R. Rustanov, “An Example of a Concircular Vector Field on a Locally Conformally Kähler Manifold”, Mat. Zametki, 111:4 (2022), 519–524; Math. Notes, 111:4 (2022), 544

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Matematicheskie Zametki, 2022, Volume 111, Issue 4, Pages 519–524
DOI: https://doi.org/10.4213/mzm13307 (Mi mzm13307)

This article is cited in 2 scientific papers (total in 2 papers)

An Example of a Concircular Vector Field on a Locally Conformally Kähler Manifold

V. F. Kirichenko^a, O. E. Arsen'eva^a, A. R. Rustanov^b

^a Moscow State Pedagogical University
^b Moscow State University of Civil Engineering

Full-text PDF (415 kB) Citations (2)

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DOI: https://doi.org/10.4213/mzm13307

Abstract: An example of a concircular vector field on a locally conformally Kähler manifold is constructed and the geometric meaning of its characteristic form is studied. It is proved that the Lie vector of a locally conformally Kähler manifold of constant curvature is a concircular vector field. It is also shown that the class of locally conformally Kähler manifolds of constant curvature is a subclass of the class of locally concircularly nearly Kähler manifolds. Conditions under which a locally conformally Kähler manifold of constant curvature is recurrent are obtained.

Keywords: locally conformally Kähler manifold, concircular vector field, Lie form, conformal transformation of the structure, locally concircularly nearly Kähler structure.

Received: 27.09.2021
Revised: 22.11.2021

English version:
Mathematical Notes, 2022, Volume 111, Issue 4, Pages 544–548
DOI: https://doi.org/10.1134/S0001434622030221

Bibliographic databases:

Document Type: Article

UDC: 517.763

Language: Russian

Citation: V. F. Kirichenko, O. E. Arsen'eva, A. R. Rustanov, “An Example of a Concircular Vector Field on a Locally Conformally Kähler Manifold”, Mat. Zametki, 111:4 (2022), 519–524; Math. Notes, 111:4 (2022), 544–548

Citation in format AMSBIB

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\paper An Example of a Concircular Vector Field on a Locally Conformally K\"ahler Manifold

\jour Mat. Zametki

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\vol 111

\issue 4

\pages 519--524

\mathnet{http://mi.mathnet.ru/mzm13307}

\crossref{https://doi.org/10.4213/mzm13307}

\transl

\jour Math. Notes

\yr 2022

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\issue 4

\pages 544--548

\crossref{https://doi.org/10.1134/S0001434622030221}

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Linking options:

https://www.mathnet.ru/eng/mzm13307

https://doi.org/10.4213/mzm13307

https://www.mathnet.ru/eng/mzm/v111/i4/p519

This publication is cited in the following 2 articles:

Chakibek Almazbekov, Nadezda Guseva, Josef Mikeš, Springer Proceedings in Mathematics & Statistics, 440, Differential Geometric Structures and Applications, 2024, 223
Ch. Almazbekov, N. I. Guseva, J. Mikeš, “Conformal Fedosov Structures and Spaces”, Math. Notes, 114:6 (2023), 1480–1483

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

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Abstract page:	257
Full-text PDF :	47
References:	54
First page:	8

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