Journal
MONATSHEFTE FUR MATHEMATIK
Volume 171, Issue 3-4, Pages 269-290Publisher
SPRINGER WIEN
DOI: 10.1007/s00605-013-0522-1
Keywords
Lagrangian submanifolds; Hamilton-Jacobi equation; Holonomic and nonholonomic Hamilton-Jacobi equation; Time-dependent Hamilton-Jacobi equation
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Funding
- MICINN (Spain) [MTM2008-00689, MTM2010-21186-C02-01, MTM2010-21186-C02-02]
- Catalan government [2009SGR1338]
- European project IRSES [GeoMech-246981]
- ICMAT Severo Ochoa project [SEV-2011-0087]
- Juan de la Cierva fellowship from MICINN
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Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. The geometric version of the Hamilton-Jacobi equation in terms of Lagrangian submanifolds enables here some novel interesting applications of the Hamilton-Jacobi equation in holonomic, nonholonomic and time-dependent dynamics from a geometrical point of view.
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