Lagrange and Finsler Geometry, P.L. Antonelli; R. Miron

Автор: R. Miron; Mihai Anastasiei
Название: The Geometry of Lagrange Spaces: Theory and Applications
ISBN: 9401043388 ISBN-13(EAN): 9789401043380
Издательство: Springer
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Автор: R. Miron
Название: The Geometry of Higher-Order Lagrange Spaces
ISBN: 079234393X ISBN-13(EAN): 9780792343936
Издательство: Springer
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Цена: 30327.00 р.
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Описание: Devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations, this volume presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. It is suitable for scientists whose work involves differential geometry and mechanics of particles and systems.

Автор: P.L. Antonelli; R. Miron
Название: Lagrange and Finsler Geometry
ISBN: 0792338731 ISBN-13(EAN): 9780792338734
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Описание: The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. This collection of papers covers higher order Lagrange geometry, the theory of -Lagrange manifolds, electromagnetic theory and neurophysiology.

Автор: Mihai Anastasiei; P.L. Antonelli
Название: Finsler and Lagrange Geometries
ISBN: 9048163250 ISBN-13(EAN): 9789048163250
Издательство: Springer
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Описание: In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Braov, Romania (1994), Seattle, USA (1995), Edmonton, Canada (1998), besides the Seminars that periodically are held in Japan and Romania. All these meetings produced important progress in the field and brought forth the appearance of some reference volumes. Along this line, a new International Conference on Finsler and Lagrange Geometry took place August 26-31,2001 at the "Al.I.Cuza" University in Iai, Romania. This Conference was organized in the framework of a Memorandum of Un- derstanding (1994-2004) between the "Al.I.Cuza" University in Iai, Romania and the University of Alberta in Edmonton, Canada. It was especially dedicated to Prof. Dr. Peter Louis Antonelli, the liaison officer in the Memorandum, an untired promoter of Finsler, Lagrange and Hamilton geometries, very close to the Romanian School of Geometry led by Prof. Dr. Radu Miron. The dedica- tion wished to mark also the 60th birthday of Prof. Dr. Peter Louis Antonelli. With this occasion a Diploma was given to Professor Dr. Peter Louis Antonelli conferring the title of Honorary Professor granted to him by the Senate of the oldest Romanian University (140 years), the "Al.I.Cuza" University, Iai, Roma- nia. There were almost fifty participants from Egypt, Greece, Hungary, Japan, Romania, USA. There were scheduled 45 minutes lectures as well as short communications.

Автор: R. Miron; Dragos Hrimiuc; Hideo Shimada; Sorin V.
Название: The Geometry of Hamilton and Lagrange Spaces
ISBN: 0792369262 ISBN-13(EAN): 9780792369264
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Описание: It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Following this duality Cartan spaces introduced and studied in [98], [99],..., are, roughly speaking, the Legendre duals of certain Finsler spaces [98], [66], [67].

Автор: R. Miron
Название: The Geometry of Higher-Order Lagrange Spaces
ISBN: 9048147891 ISBN-13(EAN): 9789048147892
Издательство: Springer
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Описание: This monograph is mostly devoted to the problem of the geome- trizing of Lagrangians which depend on higher order accelerations. It naturally prolongs the theme of the monograph "The Geometry of La- grange spaces: Theory and Applications," written together with M. Anastasiei and published by Kluwer Academic Publishers in 1994. The existence of Lagrangians of order k > 1 has been contemplated by mechanicists and physicists for a long time. Einstein had grasped their presence in connection with the Brownian motion. They are also present in relativistic theories based on metrics which depend on speeds and accelerations of particles or in the Hamiltonian formulation of non- linear systems given by Korteweg-de Vries equations. There resulted from here the methods to be adopted in their theoretical treatment. One is based on the variational problem involving the integral action of the Lagrangian. A second one is derived from the axioms of Analytical Mechanics involving the Poincare-Cartan forms. The geometrical methods based on the study of the geometries of higher order could invigorate the whole theory. This is the way adopted by us in defining and studying the Lagrange spaces of higher order. The problems raised by the geometrization of Lagrangians of order k > 1 investigated by many scholars: Ch. Ehresmann, P. Libermann, J. Pommaret; J.T. Synge, M. Crampin, P. Saunders; G.S. Asanov, P.Aringazin; I. Kolar, D. Krupka; M. de Leon, W. Sarlet, P. Cantrjin, H. Rund, W.M. Tulczyjew, A. Kawaguchi, K. Yano, K. Kondo, D.

Автор: R. Miron; Mihai Anastasiei
Название: The Geometry of Lagrange Spaces: Theory and Applications
ISBN: 0792325915 ISBN-13(EAN): 9780792325918
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Автор: Zhongmin Shen
Название: Differential Geometry of Spray and Finsler Spaces
ISBN: 9048156734 ISBN-13(EAN): 9789048156733
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Автор: Hanno Rund
Название: The Differential Geometry of Finsler Spaces
ISBN: 3642516122 ISBN-13(EAN): 9783642516122
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Описание: Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Finsler spaces based on the methods of classical differential geometry.

Автор: Gheorghe Munteanu
Название: Complex Spaces in Finsler, Lagrange and Hamilton Geometries
ISBN: 9048166144 ISBN-13(EAN): 9789048166145
Издательство: Springer
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