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Finslerian Geometries

A Meeting of Minds

  • P. L. Antonelli

Part of the Fundamental Theories of Physics book series (FTPH, volume 109)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Pedagogy

    1. Front Matter
      Pages 1-1
    2. M. Anastasiei, D. Hrimiuc
      Pages 3-7
    3. L. Kozma, L. Tamássy
      Pages 9-14
    4. Hideo Shimada, Vasile Sorin SabĂu
      Pages 15-24
  3. Summary and Overview

    1. Front Matter
      Pages 25-25
    2. P. L. Antonelli
      Pages 27-32
  4. Meeting of Minds

    1. Front Matter
      Pages 33-33
    2. Mihai Anastasiei, Hideo Shimada
      Pages 53-65
    3. P. L. Antonelli, D. Hrimiuc
      Pages 79-87
    4. S. Bácsó, M. Matsumoto
      Pages 89-94
    5. Aurel Bejancu
      Pages 111-129
    6. Howard E. Brandt
      Pages 131-138
    7. Weiqing Gu, Zhongmin Shen
      Pages 169-177
    8. Masashi Kitayama
      Pages 179-191
    9. Gheorghe Munteanu
      Pages 209-221
    10. Solange F. Rutz, Filipe M. Paiva
      Pages 223-244
    11. Vasile Sorin Sabau
      Pages 245-261
    12. L. Tamássy
      Pages 281-281
    13. Constantin Udrişte
      Pages 283-296
  5. Back Matter
    Pages 311-312

About this book

Introduction

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.

Keywords

Area Finsler geometry Volume differential geometry ecology manifold optimization

Editors and affiliations

  • P. L. Antonelli
    • 1
  1. 1.Department of Mathematical SciencesUniversity of AlbertaEdmontonCanada

Bibliographic information

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