Skip to main content
SpringerLink
Log in

The Geometry of Lagrange Spaces: Theory and Applications

  • Book
  • © 1994

Overview

Authors:
  1. Radu Miron

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Mihai Anastasiei

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Fundamental Theories of Physics (FTPH, volume 59)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Fibre Bundles. General Theory

    • Radu Miron, Mihai Anastasiei
    Pages 1-18

  3. Connections in Fibre Bundles

    • Radu Miron, Mihai Anastasiei
    Pages 19-34

  4. Geometry of the Total Space of a Vector Bundle

    • Radu Miron, Mihai Anastasiei
    Pages 35-65

  5. Geometrical Theory of Embeddings of Vector Bundles

    • Radu Miron, Mihai Anastasiei
    Pages 66-79

  6. Einstein Equations

    • Radu Miron, Mihai Anastasiei
    Pages 80-93

  7. Generalized Einstein-Yang Mills Equations

    • Radu Miron, Mihai Anastasiei
    Pages 94-105

  8. Geometry of the Total Space of a Tangent Bundle

    • Radu Miron, Mihai Anastasiei
    Pages 106-128

  9. Finsler Spaces

    • Radu Miron, Mihai Anastasiei
    Pages 129-156

  10. Lagrange Spaces

    • Radu Miron, Mihai Anastasiei
    Pages 157-179

  11. Generalized Lagrange Spaces

    • Radu Miron, Mihai Anastasiei
    Pages 180-202

  12. Applications of the GLn Spaces with the Metric Tensor e2σ(x,y)γij(x,y)

    • Radu Miron, Mihai Anastasiei
    Pages 203-222

  13. Relativistic Geometrical Optics

    • Radu Miron, Mihai Anastasiei
    Pages 223-249

  14. Geometry of Time Dependent Lagrangians

    • Radu Miron, Mihai Anastasiei
    Pages 250-275

  15. Back Matter

    Pages 276-289
    Download chapter PDF
Back to top

Keywords

About this book

Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. Very often, the starting point for such studies is a variational problem formulated for a convenient Lagrangian. From a formal point of view, a Lagrangian is a smooth real function defined on the total space of the tangent bundle to a manifold satisfying some regularity conditions. The main purpose of this book is to present: (a) an extensive discussion of the geometry of the total space of a vector bundle; (b) a detailed exposition of Lagrange geometry; and (c) a description of the most important applications. New methods are described for construction geometrical models for applications.
The various chapters consider topics such as fibre and vector bundles, the Einstein equations, generalized Einstein--Yang--Mills equations, the geometry of the total space of a tangent bundle, Finsler and Lagrange spaces, relativistic geometrical optics, and the geometry of time-dependent Lagrangians. Prerequisites for using the book are a good foundation in general manifold theory and a general background in geometrical models in physics.
For mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods.

Authors and Affiliations

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

    Radu Miron, Mihai Anastasiei

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation