The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics, 132, Band 132) - Hardcover

Miron, R.

Hardcover

ISBN 10: 1402015747 ISBN 13: 9781402015748

Verlag: Springer, 2003

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2003
• Sprache: Englisch
• ISBN 10: 1402015747
• ISBN 13: 9781402015748
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 263
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland