The Geometry of Hamilton and Lagrange Spaces

• Main Authors: Miron, Radu (Author), Hrimiuc, Dragos (Author), Shimada, Hideo (Author), Sabau, Sorin V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2002.
• Series: Fundamental Theories of Physics ; 118
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Differential geometry.; Differential Geometry.; Applications of Mathematics.

The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decad...

Table of Contents:

• The geometry of tangent bundle
• Finsler spaces
• Lagrange spaces
• The geometry of cotangent bundle
• Hamilton spaces
• Cartan spaces
• The duality between Lagrange and Hamilton spaces
• Symplectic transformations of the differential geometry of T*M
• The dual bundle of a k-osculator bundle
• Linear connections on the manifold T*2M
• Generalized Hamilton spaces of order 2
• Hamilton spaces of order 2
• Cartan spaces of order 2.