| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Zurich, Inst Math, CH-8057 Zurich - Switzerland
[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 - USA
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 42, n. 4, p. 507-536, DEC 2011. |
| Web of Science Citations: | 8 |
| Abstract | |
We adapt the notion of generating functions for lagrangian submanifolds to symplectic microgeometry. We show that a symplectic micromorphism always admits a global generating function. As an application, we describe hamiltonian flows as special symplectic micromorphisms whose local generating functions are the solutions of Hamilton-Jacobi equations. We obtain a purely categorical formulation of the temporal evolution in classical mechanics. (AU) | |
| FAPESP's process: | 10/15069-8 - Monoidal geometries |
| Grantee: | Benoit Richard Umbert Dherin |
| Support Opportunities: | Research Grants - Young Investigators Grants |