Abstract
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.
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Original Russian Text © S.V. Galaev, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 3, pp. 15–23.
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Galaev, S.V. N-extended symplectic connections in almost contact metric spaces. Russ Math. 61, 12–19 (2017). https://doi.org/10.3103/S1066369X17030021
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DOI: https://doi.org/10.3103/S1066369X17030021