The Geometry Of Higher-order Lagrange Spaces: Applications To Mechanics And Physics (fundamental Theories Of Physics) [DJVU]

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E-Book Overview

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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E-Book Information

• Series: Fundamental Theories of Physics

• Year: 1,997

• Edition: 1st

• Pages: 348

• Pages In File: 348

• Language: English

• Topic: 113

• Identifier: 9780792343936,079234393X

• Ddc: 530/.156375

• Lcc: QC20.7.D52 M55 1997

• Commentary: +OCR

• Org File Size: 3,240,597

• Extension: djvu