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Статья
2017

N-extended symplectic connections in almost contact metric spaces


S. V. GalaevS. V. Galaev
Русская математика
https://doi.org/10.3103/S1066369X17030021
Abstract / Full Text

On a manifold with an almost contact metric structure we introduce the notions of intrinsic connection, N-extended connection and N-connection. It is shown that the Tanaka–Webster and Schouten–van Kampen connections are special cases of N-connection. We define new classes of N-connections, namely, the Vagner 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.

Author information
  • Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, RussiaS. V. Galaev
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