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The Geometry of Higher-Order Lagrange Spaces

Applications to Mechanics and Physics

  • Book
  • © 1997

Overview

Authors:
  1. Radu Miron

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

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 82)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Lagrange Spaces of Order 1

    • Radu Miron
    Pages 1-44

  3. The Geometry of 2-Osculator Bundle

    • Radu Miron
    Pages 45-74

  4. N-Linear Connections Structure Equations

    • Radu Miron
    Pages 75-106

  5. Lagrangians of Second Order. Variational Problem. Nöther Type Theorems

    • Radu Miron
    Pages 107-140

  6. Second Order Lagrange Spaces

    • Radu Miron
    Pages 141-152

  7. Geometry of the k-Osculator Bundle

    • Radu Miron
    Pages 153-178

  8. Linear Connections on Osck M

    • Radu Miron
    Pages 179-202

  9. Lagrangians of Order k. Applications to Higher—Order Analytical Mechanics

    • Radu Miron
    Pages 203-226

  10. Prolongation of the Riemannian, Finslerian and Lagrangian Structures to the k-Osculator Bundle

    • Radu Miron
    Pages 227-242

  11. Higher Order Lagrange Spaces

    • Radu Miron
    Pages 243-264

  12. Subspaces in Higher Order Lagrange Spaces

    • Radu Miron
    Pages 265-284

  13. Gauge Theory in the Higher Order Lagrange Spaces

    • Radu Miron
    Pages 285-308

  14. Back Matter

    Pages 309-336
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Keywords

Authors and Affiliations

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

    Radu Miron

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