The Geometry of Hamilton and Lagrange Spaces
Author:   R. Miron ,  Dragos Hrimiuc ,  Hideo Shimada ,  Sorin V. Sabau
Publisher:   Springer
Edition:   2002 ed.
Volume:   118
ISBN:  

9780792369264


Pages:   338
Publication Date:   31 May 2001
Format:   Hardback
Availability:   In Print   Availability explained
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The Geometry of Hamilton and Lagrange Spaces


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Overview

This monograph presents the foundations of Hamilton Geometry. The concept of Hamilton Space opens a new domain in differential geometry with large applications in such areas as mechanics, physics, and optimal control. The book consists of 13 chapters. The first three present the topics of the tangent bundle geometry, and Finsler and Lagrange spaces. Subsequent chapters are devoted to the construction of geometry of Hamilton spaces and the duality between these spaces and Lagrange spaces, also, the symplectic transformations of cotangent bundle. The last five chapters present the geometrical theory and applications of Higher-Order Hamilton spaces. In particular, the case of order 2 is presented in detail.

Full Product Details

Author:   R. Miron ,  Dragos Hrimiuc ,  Hideo Shimada ,  Sorin V. Sabau
Publisher:   Springer
Imprint:   Springer
Edition:   2002 ed.
Volume:   118
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.520kg
ISBN:  

9780792369264


ISBN 10:   0792369262
Pages:   338
Publication Date:   31 May 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & 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

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.

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