6533b7d8fe1ef96bd126a564
RESEARCH PRODUCT
Geometric Aspects of Mechanics
Florian Schecksubject
PhysicsPoisson bracketsymbols.namesakeGeneralized coordinatesGeometric mechanicsLagrangian mechanicsPhase spaceTangent spacesymbolsRelativistic mechanicsMechanicsAnalytical dynamicsdescription
In many respects, mechanics carries geometrical structures. This could be felt very clearly at various places in the first four chapters. The most important examples are the structures of the space–time continua that support the dynamics of nonrelativistic and relativistic mechanics, respectively. The formulation of Lagrangian mechanics over the space of generalized coordinates and their time derivatives, as well as of Hamilton–Jacobi canonical mechanics over the phase space, reveals strong geometrical features of these manifolds.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 |