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Local Lie Algebra Determines Base Manifold.
- Source :
- From Geometry to Quantum Mechanics; 2007, p131-145, 15p
- Publication Year :
- 2007
-
Abstract
- It is proven that a local Lie algebra in the sense of A. A. Kirillov determines the base manifold up to a diffeomorphism provided the anchor map is nowhere-vanishing. In particular, the Lie algebras of nowhere-vanishing Poisson or Jacobi brackets determine manifolds. This result has been proven for different types of differentiability: smooth, real-analytic, and holomorphic. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISBNs :
- 9780817645120
- Database :
- Supplemental Index
- Journal :
- From Geometry to Quantum Mechanics
- Publication Type :
- Book
- Accession number :
- 32941608
- Full Text :
- https://doi.org/10.1007/978-0-8176-4530-4_9