Finslerian Geometries: A Meeting of Minds: 109 (Fundamental Theories of Physics, 109) - Hardcover

Hardcover

ISBN 10: 0792361156 ISBN 13: 9780792361152

Publisher: Springer, 1999

Synopsis

The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada. The main objective of this meeting was to help acquaint North American geometers with the extensive modern literature on Finsler geometry and Lagrange geometry of the Japanese and European schools, each with its own venerable history, on the one hand, and to communicate recent advances in stochastic theory and Hodge theory for Finsler manifolds by the younger North American school, on the other. The intent was to bring together practitioners of these schools of thought in a Canadian venue where there would be ample opportunity to exchange information and have cordial personal interactions. The present set of refereed papers begins ·with the Pedagogical Sec­ tion I, where introductory and brief survey articles are presented, one from the Japanese School and two from the European School (Romania and Hungary). These have been prepared for non-experts with the intent of explaining basic points of view. The Section III is the main body of work. It is arranged in alphabetical order, by author. Section II gives a brief account of each of these contribu­ tions with a short reference list at the end. More extensive references are given in the individual articles.

About this title

Review:

`aside from being well organized, typesetting of the book as well as proof reading is done very carefully. The layout is professional. The book deserves attention not only from mathematicians but also from natural scientists, especially for theoretical physics. It certainly helps to overcome such judges about Finsler Geometry like `an impenetrable forest whose entire vegetation consists of tenors'or `a jungle of tenors'. This book is highly readable and exciting.'
Journal of Geodesy, 75:(5-6)(2001)
`It will be of interest to physicist and mathematicians whose work involves quantum field theory, general relativity and gravitation, programming and optimization. Mathematical biologist working in ecology and evolution will also find it useful.'
General Relativity and Gravitation, 33:7 (2001)
`Aside from being well organized, typesetting of the book as well as proof reading is done very carefully. The layout is professional.. Nevertheless, this book is highly readable and exciting.'
Journal of Geodesy, 75:337-342 (2001)

Synopsis:

This work covers advances in Finslerian geometries, such as anisotropic geometries, and their applications by the Japanese, European and American schools. It contains three introductory articles, one from each of these schools, giving a broad overview of basic ideas. Further papers treat topics from pure mathematics such as complex differential geometry, equivalence methods, Finslerian deformations, constant sprays, homogeneous contact transformations, Douglas spaces, submanifold theory, inverse problems, area theory, and more. This book completes the Kluwer trilogy on Finslerian Geometry by P.L. Antonelli and his associates. It should be of interest to physicists and mathematicians whose work involves quantum field theory, combination theory and relativity, programming and optimization. Mathematical biologists working in ecology and evolution will also find it useful.

About this edition

• Publisher: Springer
• Publication date: 1999
• ISBN 10: 0792361156
• ISBN 13: 9780792361152
• Binding: Hardcover
• Number of pages: 320
• Editor: Antonelli P.L.