The geometry of higher-order Lagrange spaces : 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 sp...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht ; Boston :
Kluwer Academic,
1997.
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| Series: | Fundamental theories of physics ;
volume 82. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Physical Description: | 1 online resource (xv, 330 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789401733380 (electronic bk.) 9401733384 (electronic bk.) |