N-extended symplectic connections in almost contact metric spaces
| Autor: | S. V. Galaev |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Christoffel symbols
Pure mathematics Parallel transport General Mathematics 010102 general mathematics Kähler manifold Fundamental theorem of Riemannian geometry Topology 01 natural sciences Levi-Civita connection symbols.namesake 0103 physical sciences symbols Mathematics::Differential Geometry 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry Moment map Metric connection Mathematics Symplectic manifold |
| Zdroj: | Russian Mathematics. 61:12-19 |
| ISSN: | 1934-810X 1066-369X |
| DOI: | 10.3103/s1066369x17030021 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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