The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics
Author:   R. Miron
Publisher:   Springer
Edition:   1997 ed.
Volume:   82
ISBN:  

9780792343936


Pages:   336
Publication Date:   31 January 1997
Format:   Hardback
Availability:   In Print   Availability explained
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The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics


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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.

Full Product Details

Author:   R. Miron
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   82
Dimensions:   Width: 21.00cm , Height: 2.00cm , Length: 29.70cm
Weight:   1.490kg
ISBN:  

9780792343936


ISBN 10:   079234393
Pages:   336
Publication Date:   31 January 1997
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface. 1. Lagrange Spaces of Order 1. 2. The Geometry of 2-Osculator Bundle. 3. N-Linear Connections. 4. Lagrangians of Second Order. Variational Problem. Nöther Type Theorems. 5. Second Order Lagrange Spaces. 6. Geometry of the k-Osculator Bundle. 7. Linear Connections of OsckM. 8. Lagrangians of Order k. Applications to Higher-Order Analytical Mechanics. 9. Prolongation of the Riemannian, Finslerian and Lagrangian Structures to the k-Osculator Bundle. 10. Higher Order Lagrange Spaces. 11. Subspaces in Higher Order Lagrange Spaces. 12. Gauge Theory in the Higher Order Lagrange Spaces. References. Index.

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