5 edition of **An Introduction to Finsler Geometry (Peking University Series in Mathematics)** found in the catalog.

- 188 Want to read
- 4 Currently reading

Published
**April 12, 2006**
by World Scientific Publishing Company
.

Written in English

- Analytic geometry,
- Science/Mathematics,
- Mathematics,
- Geometry - Differential,
- Study & Teaching,
- Geometry - General

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 128 |

ID Numbers | |

Open Library | OL9197514M |

ISBN 10 | 9812567933 |

ISBN 10 | 9789812567932 |

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds. In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian : World Scientific Publishing Company. Description This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic "/5(2).

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations/5(2). This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds a.

Riemann{Finsler Geometry MSRI Publications Vol Volumes on Normed and Finsler Spaces J. C. AL VAREZ PAIVA AND A. C. THOMPSON Contents 1. Introduction 1 2. A Short Review of the Geometry of Normed Spaces 3 Maps between normed spaces 5 Dual spaces and polar bodies 6 Sociology of normed spaces 7 3. Volumes on Normed File Size: KB. This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating "This book offers the most modern treatment of the topic ".

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This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere by: The authors claim to turn the subject of Finsler geometry with this book into a more teachable one and to have a candid style of writing.

This is definitly true for the first 50 pages, where the concepts of Finsler geometry are very well explained and the exercises are manageable and Cited by: AN INTRODUCTION TO FINSLER GEOMETRY by Xiaohuan Mo (Peking University, China) This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle.

It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic. This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle.

It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler.

This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. Introduction. 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 but protractors are not. Abstract. In this chapter we will give a brief introduction to Finsler geometry. In Sect. we give the definitions of Minkowski spaces and Finsler explicit and interesting examples are presented in this : Shaoqiang Deng.

AN INTRODUCTION TO FINSLER GEOMETRY. An brief introduction to Finsler geometry Matias Dahl J Abstract This work contains a short introduction to Finsler geometry.

Special em-phasis is put on the Legendre transformation that connects Finsler geometry with symplectic geometry.

Contents 1 Finsler geometry 3File Size: KB. An Introduction to Riemann-Finsler Geometry With 20 Illustrations Springer. Contents Preface Acknowledgments vn xiii PART ONE Finsler Manifolds and Their Curvature CHAPTER 1 Finsler Manifolds and the Fundamentals of Minkowski Norms 1 Physical Motivations 1 Finsler Structures: Definitions and Conventions 2 Two Basic Properties of.

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection. An Introduction to Finsler Geometry Uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle.

This book introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern.

This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds. In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities.

An Introduction to Riemann-Finsler Geometry. Usually dispatched within 3 to 5 business days. Usually dispatched within 3 to 5 business days. In Riemannian geometry, measurements are made with both yardsticks and protractors.

These tools are represented by a family of inner-products. Synopsis This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area.

It includes local geometry as well as global geometry of Finsler manifolds. In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian : World Scientific Publishing Company. This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations.

"This book offers the most modern treatment of the topic " EMS : D. Bao. In this chapter we will give a brief introduction to Finsler geometry. In Sect.we give the definitions of Minkowski spaces and Finsler spaces.

(II)Provide a rst introduction to Lorentz-Finsler Geometry, a recent and currently very active area of research close to Lorentzian Geometry. This 3. is developed in Chapter3, and is expected to be treated in depth in a future PhD thesis. Next, we o er an overview of.

Request PDF | An Introduction to Riemann-Finsler Geometry | This book focuses on the elementary but essential items among these results. | Find, read and cite all the research you need on ResearchGate. This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations.

In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold M where a Minkowski functional F is provided on each tangent space TxM, that enables one to define the length of any smooth curve γ: → M as L = ∫ a b F d t.

{\displaystyle L=\int _{a}^{b}F\,\mathrm {d} t.} Finsler manifolds are more general than Riemannian manifolds since the tangent norms need not be induced .This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area.

It includes local geometry as well as global geometry of Finsler Part I, the authors discuss differential manifolds, Finsler metrics, the Chern Brand: Yi-Bing Shen; Zhongmin Shen.An introduction to Finsler geometry. [Xiaohuan Mo] -- This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the .