applications have also imposed the introduction x RaduMiron ofthe notionsofhigherorder Lagrangespacesand, ofcourse, higherorder Hamilton spaces. The base manifolds ofthese spaces are bundles ofaccel erations ofsuperior order. The methods used in the construction ofthese geometries are the natural extensions ofthe classical methods used in the edification ofLagrange and Hamilton geometries. These methods allow us to solvean old problemofdifferentialgeometryformulated by Bianchiand Bompiani [94]morethan 100yearsago,namelytheproblemofprolongation ofaRiemannianstructure gdefinedonthebasemanifoldM,tothetangent k bundleT M, k> 1. Bymeansofthissolutionofthe previousproblem, we canconstruct, for thefirst time,goodexamplesofregularLagrangiansand Hamiltoniansofhigherorder.
| Autorius: | R. Miron |
| Serija: | Fundamental Theories of Physics |
| Leidėjas: | Springer Netherlands |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 264 |
| ISBN-10: | 940103995X |
| ISBN-13: | 9789401039956 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Differential and Riemannian geometry |
Parašykite atsiliepimą apie „The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics“
