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Wednesday, July 29, 2020 | History

3 edition of Finsler geometry and applications found in the catalog.

Finsler geometry and applications

Aurel Bejancu

Finsler geometry and applications

by Aurel Bejancu

  • 167 Want to read
  • 13 Currently reading

Published by Ellis Horwood, Halsted Press in Chichester, New York .
Written in English

    Subjects:
  • Finsler spaces.

  • Edition Notes

    StatementAurel Bejancu ; translation editor: David E. Blair.
    SeriesMathematics and its applications, Mathematics and its applications (Chichester, England : 1988)
    Classifications
    LC ClassificationsQA689 .B38 1990
    The Physical Object
    Pagination198 p. --
    Number of Pages198
    ID Numbers
    Open LibraryOL19944925M
    ISBN 100133179753

      Finsler Geometry by David Dai-Wai Bao, , available at Book Depository with free delivery worldwide.1/5(1). rent book. While the previous book was focused on biodynamic applica-tions, the core applications of the new book are in the realm of modern theo-retical physics, mainly following its central line: Einstein–Feynman–Witten. Other applications include (among others): control theory, robotics, neu-.

    Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists. Preface Since Finsler geometry, Lagrange geometry and their applications to physics and biology, have been intensive1y studied in the context of a 5-year program called.

    PDF | On Jan 1, , Peter Louis Antonelli and others published Lagrange and Finsler Geometry. Applications to Physics and Biology | Find, read and cite all the research you need on ResearchGate. The Finsler package [14] included in [1] and the new Finsler package [17] are good illustrations of using computer in the applications of Finsler geometry. Solutions for the Landsberg unicorn.


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Finsler geometry and applications by Aurel Bejancu Download PDF EPUB FB2

This item: Lagrange and Finsler Geometry: Applications to Physics and Biology (Fundamental Theories of Physics) Set up a giveaway. Get fast, free delivery with Amazon Prime. Prime members enjoy FREE Two-Day Delivery and exclusive access to music, movies, TV shows, original audio series, and Kindle : Hardcover.

Projective Finsler geometry and Wagner connection theory are used to model time-sequencing changes in growth and development. Some direct applications to fossil measurements in paleontology are also described. For geometers, physicists and theoretical (marine) biologists, the book can also be recommended as a supplementary graduate by: This book begins with a new approach to the geometry of pseudo-Finsler manifolds.

It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all by: Finsler geometry and applications Add library to Favorites Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours.

Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces Cited by: Roman S.

Ingarden – On physical applications of Finsler geometry [MR ] Section 5: Applications to Control Theory. Robert B. Gardner and George R. Wilkens – Preface for “Applications of Finsler geometry to control theory” [MR ]. The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden).

The second known application of Finsler geometry towards finite deformation of solid bodies appears in Chapter 8 of the book of Bejancu [ 30 ]. Content in [ 30 ] extends and formalizes the description of Ikeda [ 35 ] using concepts of tensor calculus on the fiber bundle of a (generalized pseudo-) Finsler by: 9.

After a review of necessary mathematical definitions and derivations, prior work involving application of Finsler geometry in continuum mechanics of solids is reviewed. A new theoretical description of continua with microstructure is then outlined, merging concepts from Finsler geometry and phase field theories of materials science.

In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M where a (possibly asymmetric) Minkowski functional F(x,−) is provided on each tangent space TxM, that enables one to define the length of any smooth curve γ: [a,b] → M as Finsler.

nates do not [Run59]. Let us also point out that in Finsler geometry the unit spheres do not need to be ellipsoids. Finsler geometry is named after Paul Finsler who studied it in his doc-toral thesis in Presently Finsler geometry has found an abundance of applications in both physics and practical applications [KT03, AIM94, Ing96, DC01].File Size: KB.

Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the.

Finsler Geometry and Applications. Location. Varanasi, India. Dates. 05/12/ to 15/12/ Presentation. Since a couple of decades, Finsler geometry has been a very active field of research, with a particular stress on the use of purely metric methods in the investigation of various Finsler metrics that appear naturally in geometry.

Lagrange and Finsler Geometry Applications to Physics and Biology. Editors: Antonelli, P.L., Miron, R. (Eds.) Free Preview. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, Japan A.

Bejancu, Finsler geometry and applications, Ellis Horwood Limited, Chichester, P. Antonelli, R. Ingarden and M.

Matsumoto, The theory of sprays and Finsler spaces with applications in physics and biology, Kluwer Academic Publishers, The researches resulting in this massive book have been initiated by S. Vacaru fifteen years ago when he prepared a second Ph.

Thesis in Mathematical Physics. Study-ing Finsler–Lagrange geometries he became aware of the potential applications of these geometries in exploring nonlinear aspects and nontrivial symmetries arising in various. About this book. Introduction. In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra§ov, Romania (), Seattle, USA (), Edmonton, Canada (), besides the Seminars that periodically are held in Japan and Romania.

Cite this chapter as: Shimada H., SabĂu V.S. () Finsler Geometry. In: Antonelli P.L. (eds) Finslerian Geometries. Fundamental Theories of Physics (An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application), vol book, while Finsler-Lagrange geometry is presented as a natural framework for applications.

This monograph is a natural and necessary continuation of the authors’Cited by:   Viewing Finsler spaces as regular metric spaces, the author discusses the problems from the modern metric geometry point of view. The book begins with the basics on Finsler spaces, including the notions of geodesics and curvatures, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory of regular metric measure spaces.

In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms.

So ardsticks are assigned.to write an introductory book on Finsler geometry and its applications at a fairly advanced level. It is intended especially for graduate students in pure mathemat­.Lagrange and Finsler Geometry Applications to Physics and Biology.

Editors (view affiliations) P. L. Antonelli; R. Miron.