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Finsler and Lagrange Geometries

Proceedings of a Conference held on August 26–31, Iaşi, Romania

  • Conference proceedings
  • © 2003

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Editors:
  1. M. Anastasiei

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

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  2. P. L. Antonelli

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

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Table of contents (34 papers)

  1. Lagrange and Hamilton Geometry and Applications in Control and Seismology

    1. The Variational Problem for Finsler Spaces with (α, β)-Metric

      • Marcel Roman
      Pages 171-179

    2. On Projectively Flat Finsler Spheres (Remarks on A Theorem of R.L. Bryant)

      • Vasile Sorin Sabău
      Pages 181-191

    3. On Corrected form of an Old Result: Necessary and Sufficient Conditions of a Randers Space to be of Constant Curvature

      • Hideo Shimada, Vasile Sorin Sabău
      Pages 193-196

    4. On the Almost Finslerian Lagrange Space of Second Order with (α, β) Metric

      • Cătălin Sterbeţi, Brânduşa Nicolaescu
      Pages 197-201

    5. Remarkable Natural Almost Parakaehlerian Structures on the Tangent Bundle

      • Emil Stoica
      Pages 203-212

    6. Intrinsic Geometrization of the Variational Hamiltonian Calculus

      • Ovidiu Ilie şandru
      Pages 213-224

    7. Finsler Spaces of Riemann-Minkowski Type

      • L. Tamássy
      Pages 225-232

    8. Finsler-Lagrange-Hamilton Structures Associated to Control Systems

      • Constantin Udrişte
      Pages 233-243

    9. Preface Section 2

      • M. Anastasiei, P. L. Antonelli
      Pages 245-245

  2. Applications in Physics

    1. Front Matter

      Pages 247-247
      Download chapter PDF

    2. Contraforms on Pseudo-Riemannian Manifolds

      • M. Anastasiei, Gabriela Ciobanu, I. Gottlieb
      Pages 249-258

    3. Finslerian (α, ß)—Metrics in Weak Gravitational Models

      • Vladimir Balan, Panayotis C. Stavrinos
      Pages 259-267

    4. Applications of Adapted Frames to the Geometry of Black Holes

      • Liviu Popescu
      Pages 269-275

    5. Implications of Homogeneity in Miron’s Sense in Gauge Theories of Second Order

      • Adrian Sandovici
      Pages 277-285

    6. The Free Geodesic Connection and Applications to Physical Field Theories

      • Thomas P. Storer
      Pages 287-301

    7. The Geometry of Non-Inertial Frames

      • Ion Şandru
      Pages 303-311

    8. Self-Duality Equations for Gauge Theories

      • Gheorghe Zet, Vasile Manta
      Pages 313-322
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Keywords

About this book

In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra§ov, Romania (1994), Seattle, USA (1995), Edmonton, Canada (1998), besides the Seminars that periodically are held in Japan and Romania. All these meetings produced important progress in the field and brought forth the appearance of some reference volumes. Along this line, a new International Conference on Finsler and Lagrange Geometry took place August 26-31,2001 at the "Al.I.Cuza" University in Ia§i, Romania. This Conference was organized in the framework of a Memorandum of Un­ derstanding (1994-2004) between the "Al.I.Cuza" University in Ia§i, Romania and the University of Alberta in Edmonton, Canada. It was especially dedicated to Prof. Dr. Peter Louis Antonelli, the liaison officer in the Memorandum, an untired promoter of Finsler, Lagrange and Hamilton geometries, very close to the Romanian School of Geometry led by Prof. Dr. Radu Miron. The dedica­ tion wished to mark also the 60th birthday of Prof. Dr. Peter Louis Antonelli. With this occasion a Diploma was given to Professor Dr. Peter Louis Antonelli conferring the title of Honorary Professor granted to him by the Senate of the oldest Romanian University (140 years), the "Al.I.Cuza" University, Ia§i, Roma­ nia. There were almost fifty participants from Egypt, Greece, Hungary, Japan, Romania, USA. There were scheduled 45 minutes lectures as well as short communications.

Editors and Affiliations

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

    M. Anastasiei

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

    P. L. Antonelli

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