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Springer Geometry of Higher-Order Lagrange Spaces - Fundamental Theories Physics 82

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Description

This Springer monograph provides a comprehensive treatment of geometrizing Lagrangians dependent on higher-order accelerations. The book constructs the geometry of acceleration bundles of order k>=1 and conducts detailed geometric study of higher-order Lagrange spaces, solving the classical problem of prolonging Riemannian spaces to k-osculator manifolds. It establishes the geometric foundation for variational calculus on action integrals involving higher-order Lagrangians, with applications throughout higher-order analytical mechanics and theoretical physics. Essential for researchers and advanced students exploring the mathematical underpinnings of Lagrangian mechanics and differential geometry.

Key Features

Constructs the geometry of total space bundles for accelerations of order k>=1 in higher-order Lagrange spaces.

Solves the prolongation problem for Riemannian spaces to k-osculator manifolds using geometric methods.

Develops geometric foundations for variational calculus applied to higher-order Lagrangian action integrals.

Applies geometric theory to higher-order analytical mechanics and theoretical physics problems.

Published by Springer as volume 82 in the Fundamental Theories of Physics series.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
04 December 2010
Listed Since
01 October 2010

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