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Reduction, Induction and Ricci Flat Symplectic Connections.
- Source :
- From Geometry to Quantum Mechanics; 2007, p111-129, 19p
- Publication Year :
- 2007
-
Abstract
- In this paper we present a construction of Ricci-flat connections through an induction procedure. Given a symplectic manifold (M, ω) of dimension 2n, we define induction as a way to construct a symplectic manifold (P, μ) of dimension 2n + 2. Given any symplectic manifold (M, ω) of dimension 2n and given a symplectic connection ▽ on (M, ω), we define induction as a way to construct a symplectic manifold (P, μ) of dimension 2n+2 and an induced connection ▽P which is a Ricci-flat symplectic connection on (P, μ). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISBNs :
- 9780817645120
- Database :
- Supplemental Index
- Journal :
- From Geometry to Quantum Mechanics
- Publication Type :
- Book
- Accession number :
- 32941607
- Full Text :
- https://doi.org/10.1007/978-0-8176-4530-4_8