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The geometry of higher-order Hamilton spaces : applications to Hamiltonian mechanics

Author: Radu Miron
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2003.
Series: Fundamental theories of physics, v. 132.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Presents an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. This book contains the general theory of higher order Hamilton spaces, semisprays, the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Radu Miron
ISBN: 1402015747 9781402015748
OCLC Number: 52901539
Notes: Includes index.
Description: xvi, 247 pages : illustrations ; 23 cm.
Contents: 1. Geometry of the [kappa]-Tangent Bundle T[superscript [kappa]]M --
2. Lagrange Spaces of Higher Order --
3. Finsler Spaces of Order [kappa] --
4. The Geometry of the Dual of [kappa]-Tangent Bundle --
5. The Variational Problem for the Hamiltonians of Order [kappa] --
6. Dual Semispray, Nonlinear Connections --
7. Linear Connections on the Manifold T[superscript [kappa]]M --
8. Hamilton Spaces of Order [actual symbol not reproducible] --
9. Subspaces in Hamilton Spaces of Order [kappa] --
10. The Cartan Spaces of Order [kappa] as Dual of Finsler Spaces of Order [kappa] --
11. Generalized Hamilton and Cartan Spaces of Order [kappa]. Applications to Hamiltonian Relativistic Optics.
Series Title: Fundamental theories of physics, v. 132.
Responsibility: by Radu Miron.
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From the reviews:"The book is devoted to an extensive study of formal-geometric properties of higher-order nondegenerate one-dimensional variational integrals. ... The author's approach is useful for Read more...

 
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