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Monday, July 27, 2020 | History

4 edition of Finsler Geometry and Applications (Mathematics and Its Applications (Ellis Horwood Ltd)) found in the catalog.

Finsler Geometry and Applications (Mathematics and Its Applications (Ellis Horwood Ltd))

Aurel Bejancu

Finsler Geometry and Applications (Mathematics and Its Applications (Ellis Horwood Ltd))

by Aurel Bejancu

  • 4 Want to read
  • 35 Currently reading

Published by Ellis Horwood Ltd .
Written in English


Edition Notes

ContributionsDavid E. Blair (Translator)
The Physical Object
Number of Pages470
ID Numbers
Open LibraryOL7340654M
ISBN 100133179753
ISBN 109780133179750

To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity, geodesics, curvature. Brand new Book. Finsler geometry is Riemannian geometry without the restriction that the line element be quadratic. It has various applications especially in mechanics, gravitational theory, electromagnetism, information geometry etc.

  In Finsler geometry, the study of transnormal functions has just begun, see but there are already some interesting applications in wildfire modeling (see), eikonal equations (see e.g.) and general relativity (see e.g.). immediate use in Riemannian geometry, the more geometric constructions with norms, convex bodies, and k-volume densities that make up the heart of this paper have immediate applications to Finsler geometry. 2. A Short Review of the Geometry of Normed Spaces This section is a quick review of the geometry of nite-dimensional normed spaces adapted.

tool in differential geometry. Remark If the dimension of M is zero, then M is a countable set equipped with the discrete topology (every subset of M is an open set). If dimM = 1, then M is locally homeomorphic to an open interval; if dimM = 2, then it is locally homeomorphic to . 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.


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Finsler Geometry and Applications (Mathematics and Its Applications (Ellis Horwood Ltd)) by Aurel Bejancu Download PDF EPUB FB2

: Finsler Geometry and Applications (Mathematics & Its Applications) (): Bejancu, Aurel, Blair, David E.: Books Skip to main content Hello, Sign inCited by: Lagrange and Finsler Geometry: Applications to Physics and Biology (Fundamental Theories of Physics) th Edition by P.L. Antonelli (Editor), R.

Miron (Editor) ISBN Buy Geometry of Pseudo-Finsler Submanifolds (Mathematics and its Applications Volume ) on FREE SHIPPING on qualified orders Geometry of Pseudo-Finsler Submanifolds (Mathematics and its Applications Volume ): Bejancu, Aurel, Farran, Hani Reda: : BooksCited by: Finsler geometry and applications (Book, ) [] Get this from a library.

Finsler geometry and applications. 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 ].

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. The second known application of Finsler geometry towards finite deformation of solid bodies appears in Chapter 8 of the book of Bejancu.

Content in extends and formalizes the description of Ikeda using concepts of tensor calculus on the fiber bundle of a (generalized pseudo-) Finsler manifold.

involving application of Finsler geometry in continuum mechanics of solids is reviewed. A new theoretical description of continua with microstructure is thenoutlined, merging concepts from Finsler geometry and phase field theories of materials science.

Basic Course “Finsler Geometry from a Riemannian viewpoint” 10 hours from Monday to Friday, in blocks of 2 hours: 1,30 theoretical and 30 minutes of practical exercises.

Second week (applied) (II) Advanced Seminar consisting in a 6-hour course entitled "Applied Finsler Geometry and spacetimes".

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].

The present presentation follows [She01b, She01a]. 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 T x M, that enables one to define the length of any smooth curve γ: [a,b] → M as = ∫ ((), ˙ ()).Finsler manifolds are more general than Riemannian manifolds since the tangent norms need not be.

is a platform for academics to share research papers. 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.

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.

Description: This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Finsler Geometry over the reals. Complex Finsler geometry.

Generalized Finsler metrics. Applications to biology, engineering, and physics. Applications to control theory. Applications to relativistic field theory. Lagrange and Finsler Geometry Applications to Physics and Biology.

Editors: Antonelli, P.L., Miron, R. (Eds.) Free Preview. There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler 5/5(1).

The main purpose of this book is to present the principles and methods of sprays (path spaces) and Finsler spaces together with examples of applications to physical and life sciences. It is our aim to write an introductory book on Finsler geometry and its applications at a fairly advanced level.

Section 1: Finsler Geometry over the Reals 1 26 free; 0. Preface 3 28; 1. On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces 15 40; 2. Finsler structures on the 2-sphere satisfying K = 1 27 52; 3. Integral geometry in Minkowski spaces 43 68; 4.

Riemannian geometry as a special case of Finsler geometry 51 76; 5. Dirac operators for. Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems.

This book contains a series of new results obtained Cited by: Lagrange and Finsler Geometry Applications to Physics and Biology. Editors (view affiliations) P. L. Antonelli; R. Miron; Book. Search within book. Front Matter. Pages i-ix. PDF.

Finsler geometry Tensor algebra differential geometry manifold.Abstract 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 Discover the world's.