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Finsler Geometry, Relativity and Gauge Theories

  • Book
  • © 1985

Overview

Authors:
  1. G. S. Asanov

    1. Department of Theoretical Physics, Moscow State University, Russia

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 12)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
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  2. Motivation and Outline of the Book

    1. Front Matter

      Pages 1-1
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    2. Motivation and Outline of the Book

      • G. S. Asanov
      Pages 3-16

  3. Introduction to Finsler Geometry

    1. Front Matter

      Pages 17-17
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    2. Primary Mathematical Definitions

      • G. S. Asanov
      Pages 19-46

    3. Special Finsler Spaces

      • G. S. Asanov
      Pages 47-81

  5. Additional Observations

    1. Front Matter

      Pages 193-193
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    2. Classical Mechanics from the Finslerian Viewpoint

      • G. S. Asanov
      Pages 195-203

    3. Finslerian Refinement of Special Relativity Theory

      • G. S. Asanov
      Pages 204-223

  6. Back Matter

    Pages 224-370
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Keywords

About this book

The methods of differential geometry have been so completely merged nowadays with physical concepts that general relativity may well be considered to be a physical theory of the geometrical properties of space-time. The general relativity principles together with the recent development of Finsler geometry as a metric generalization of Riemannian geometry justify the attempt to systematize the basic techniques for extending general relativity on the basis of Finsler geometry. It is this endeavour that forms the subject matter of the present book. Our exposition reveals the remarkable fact that the Finslerian approach is automatically permeated with the idea of the unification of the geometrical space-time picture with gauge field theory - a circumstance that we try our best to elucidate in this book. The book has been written in such a way that the reader acquainted with the methods of tensor calculus and linear algebra at the graduate level can use it as a manual of Finslerian techniques orientable to applications in several fields. The problems attached to the chapters are also intended to serve this purpose. This notwithstanding, whenever we touch upon the Finslerian refinement or generalization of physical concepts, we assume that the reader is acquainted with these concepts at least at the level of the standard textbooks, to which we refer him or her.

Reviews

`... Asanov's book is an important contribution to the literature and should benefit both experts and novices in applications of Finsler geometry.'
Mathematics Abstracts, 576:7 (1986)

Authors and Affiliations

  • Department of Theoretical Physics, Moscow State University, Russia

    G. S. Asanov

Bibliographic Information

  • Book Title: Finsler Geometry, Relativity and Gauge Theories

  • Authors: G. S. Asanov

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-94-009-5329-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordecht, Holland 1985

  • Hardcover ISBN: 978-90-277-1960-7Published: 31 October 1985

  • Softcover ISBN: 978-94-010-8853-4Published: 22 November 2011

  • eBook ISBN: 978-94-009-5329-1Published: 06 December 2012

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: X, 370

  • Topics: Theoretical, Mathematical and Computational Physics, Mathematical Physics

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