<Emphasis Type="Italic">N</Emphasis>-extended symplectic connections in almost contact metric spaces |
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Authors: | S V Galaev |
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Institution: | 1.Saratov State University,Saratov,Russia |
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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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