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The Geometry of Higher-Order Lagrange Spaces

Posted on 2010-03-16




Name:The Geometry of Higher-Order Lagrange Spaces
ASIN/ISBN:079234393X
Language:English
File size:2.4 Mb
Language: English
Publish Date: 1997-01-31
ISBN: 079234393X
Pages: 356 pages
File Size: 2,4 MB
Other Info: Springer; DJVU
   The Geometry of Higher-Order Lagrange Spaces

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R. Miron ": Applications to Mechanics and Physics"

This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and theoretical physics are included as well. Audience: This volume will be of interest to scientists whose work involves differential geometry, mechanics of particles and systems, calculus of variation and optimal control, optimization, optics, electromagnetic theory, and biology.

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