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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 15–23 (Mi ivm9213)  

This article is cited in 1 scientific paper (total in 1 paper)

$N$-extended symplectic connections in almost contact metric spaces

S. V. Galaev

Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
Full-text PDF (213 kB) Citations (1)
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Abstract: On a manifold with an almost contact metric structure we introduce the notions of interior connection, $N$-extended connection and $N$-connection. It is shown that the Tanaka–Webster and Schouten–van Kampen connections are a special cases of $N$-connection. We define new classes of $N$-connections is the Wagner connection and canonical metric $N$-connection. We also define $N$-extended symplectic connection. It is proved that the $N$-extended symplectic connection exists on any manifold with a contact metric structure.
Keywords: almost contact metric structure, interior symplectic connection, $N$-extended symplectic connection, Schouten curvature tensor, Wagner curvature tensor, connection Tanaka–Webster connection, Schouten–van Kampen connection.
Received: 09.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 12–19
DOI: https://doi.org/10.3103/S1066369X17030021
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
Citation: S. V. Galaev, “$N$-extended symplectic connections in almost contact metric spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 15–23; Russian Math. (Iz. VUZ), 61:3 (2017), 12–19
Citation in format AMSBIB
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\by S.~V.~Galaev
\paper $N$-extended symplectic connections in almost contact metric spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 3
\pages 15--23
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 3
\pages 12--19
\crossref{https://doi.org/10.3103/S1066369X17030021}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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