The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology / Edition 1

The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology / Edition 1

by P.L. Antonelli, Roman S. Ingarden, M. Matsumoto
     
 

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ISBN-10: 079232577X

ISBN-13: 9780792325772

Pub. Date: 10/31/1993

Publisher: Springer Netherlands

This volume presents the principles and methods of sprays (path spaces) and Finsler spaces with many applications in the physical and life sciences. The book has six chapters and an extensive reference section. Beginning from the classical theory of sprays, Chapter 0 presents an introduction to modern Finsler differential geometry. The following three chapters can

Overview

This volume presents the principles and methods of sprays (path spaces) and Finsler spaces with many applications in the physical and life sciences. The book has six chapters and an extensive reference section. Beginning from the classical theory of sprays, Chapter 0 presents an introduction to modern Finsler differential geometry. The following three chapters can serve as a comprehensive graduate course using the notions of pre-Finsler connections in spray bundles. Topics covered are the calculus of variations and Finsler metric functions, spaces of constant curvature, projective and conformal geometry, two-dimensional Finsler spaces, Beswald spaces, (alpha, beta)-metrics, etc. Chapter 4 deals with the Finslerian view of dissipative mechanics, thermodynamics and information, and geometrical and electron optics. Chapter 5 discusses, from a Finslerian perspective, ecological problems and models, with particular reference to the Great Barrier Reef. Spray connection theory is shown to be indispensable for a logically consistent theory of social interactions. Projective Finsler geometry and Wagner connection theory are used to model time-sequencing changes in growth and development. Some direct applications to fossil measurements in paleontology are also described.
For geometers, physicists and theoretical (marine) biologists, the book can also be recommended as a supplementary graduate text.

Product Details

ISBN-13:
9780792325772
Publisher:
Springer Netherlands
Publication date:
10/31/1993
Series:
Fundamental Theories of Physics Series, #58
Edition description:
1993
Pages:
311
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Preface. 0. Introductory Geometrical Background. 1. Finsler Metrics. 2. Connections in Finsler Spaces. 3. Special Finsler Spaces. 4. Finslerian Physics. 5. Finslerian Biology. References. Index.

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