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OverviewThis 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 DetailsAuthor: R. MironPublisher: Springer Imprint: Springer Edition: 1997 ed. Volume: 82 Dimensions: Width: 21.00cm , Height: 2.00cm , Length: 29.70cm Weight: 1.490kg ISBN: 9780792343936ISBN 10: 079234393 Pages: 336 Publication Date: 31 January 1997 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  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 ContentsPreface. 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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