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Lagrange and Finsler Geometry

Applications to Physics and Biology

  • Book
  • © 1996

Overview

Editors:
  1. P. L. Antonelli

    1. Department of Mathematical Sciences, University of Alberta, Edmonton, Canada

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  2. R. Miron

    1. Faculty of Mathematics and Physics, University “Al. I. Cuza”, Iaşi, Romania

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Fundamental Theories of Physics (FTPH, volume 76)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-ix
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  2. Differential Geometry and Applications

    1. On Deflection Tensor Field in Lagrange Geometries

      • Mihai Anastasiei
      Pages 1-14

    2. The Differential Geometry of Lagrangians which Generate Sprays

      • M. Anastasiei, P. L. Antonelli
      Pages 15-34

    3. Partial Nondegenerate Finsler Spaces

      • Gheorghe Atanasiu
      Pages 35-60

    4. Randers and Kropina Spaces in Geodesic Correspondence

      • Sándor Bácsό
      Pages 61-64

    5. Deviations of Geodesics in Fibered Finslerian Approach

      • V. Balan, P. C. Stavrinos
      Pages 65-73

    6. Sasakian Structures on Finsler Manifolds

      • Izumi Hasegawa, Kazunari Yamauchi, Hideo Shimada
      Pages 75-80

    7. A New Class Of Spray-Generating Lagrangians

      • P. L. Antonelli, D. Hrimiuc
      Pages 81-92

    8. Some Remarks on Automorphisms of Finsler Bundles

      • Magdolna Sz. Kirkovits, Tsuyoshi Otsuji, Tadashi Aikou
      Pages 93-98

    9. On Construction of Landsbergian Characteristic Subalgebra

      • Z. Kovács
      Pages 99-111

    10. Conservation Laws of Dynamical Systems via Lagrangians of the Second Degree

      • Vasile Marinca
      Pages 113-121

    11. General Randers Spaces

      • Radu Miron
      Pages 123-140

    12. Conservation Laws Associated to Same Dynamical Systems

      • V. Obădeanu
      Pages 141-151

    13. Biodynamic Systems and Conservation Laws. Applications to Neuronal Systems

      • V. Obădeanu, V. V. Obădeanu
      Pages 153-162

    14. Computational Methods in Lagrange Geometry

      • Mihai Postolache
      Pages 163-176

    15. Phase Portraits and Critical Elements of Magnetic Fields Generated by a Piecewise Rectilinear Electric Circuits

      • C. Udrişte, A. Udrişte, V. Balan, M. Postolache
      Pages 177-187

    16. Killing Equations in Tangent Bundle

      • Makoto Yawata
      Pages 189-194

    17. Lebesgue Measure and Regular Mappings in Finsler Spaces

      • Alexandru Neagu, Veronica T. Borcea
      Pages 195-204

    18. On a Finsler Metric Derived from Ecology

      • Hideo Shimada
      Pages 205-208

  3. Geometrical Models in Physics

    1. A Moor’s Tensorial Integration in Generalized Lagrange Spaces

      • I. Gottlieb, S. Vacaru
      Pages 209-216
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Reviews

` ... good insight into the current state-of-the-art of Finsler and Lagrange geometries. The volume has the following three main audiences: differential geometers, relativists, and workers in Lagrange dynamics. ... can be recommended as a supplementary and more specialized text in the above mentioned topics.'
General Relativity and Gravitation, 29:9 (1997)

Editors and Affiliations

  • Department of Mathematical Sciences, University of Alberta, Edmonton, Canada

    P. L. Antonelli

  • Faculty of Mathematics and Physics, University “Al. I. Cuza”, Iaşi, Romania

    R. Miron

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