Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
An Introduction to Riemann-Finsler Geometry
.
Bookmark this Record
Catalogue Record 44749
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44749
.
Reviews
Catalogue Record 44749
.
British Library
Resolver for RSN-44749
Google Scholar
Resolver for RSN-44749
WorldCat
Resolver for RSN-44749
Catalogo Nazionale SBN
Resolver for RSN-44749
GoogleBooks
Resolver for RSN-44749
ICTP Library
Resolver for RSN-44749
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516
Title
An Introduction to Riemann-Finsler Geometry ([EBook]) / by D. Bao, S.-S. Chern, Z. Shen.
Author
Bao, David , 1953-
Added Personal Name
Chern, Shiing-shen , 1911-2004
Shen, Zhongmin. , 1963-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 2000.
Physical Details
XX, 435 pages : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 200
ISBN
9781461212683
Summary Note
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. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one.:
Contents note
One Finsler Manifolds and Their Curvature -- 1 Finsler Manifolds and the Fundamentals of Minkowski Norms -- 2 The Chern Connection -- 3 Curvature and Schur’s Lemma -- 4 Finsler Surfaces and a Generalized Gauss—Bonnet Theorem -- Two Calculus of Variations and Comparison Theorems -- 5 Variations of Arc Length, Jacobi Fields, the Effect of Curvature -- 6 The Gauss Lemma and the Hopf-Rinow Theorem -- 7 The Index Form and the Bonnet-Myers Theorem -- 8 The Cut and Conjugate Loci, and Synge’s Theorem -- 9 The Cartan-Hadamard Theorem and Rauch’s First Theorem -- Three Special Finsler Spaces over the Reals -- 10 Berwald Spaces and Szabó’s Theorem for Berwald Surfaces -- 11 Randers Spaces and an Elegant Theorem -- 12 Constant Flag Curvature Spaces and Akbar-Zadeh’s Theorem -- 13 Riemannian Manifolds and Two of Hopf’s Theorems -- 14 Minkowski Spaces, the Theorems of Deicke and Brickell.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1268-3
Links to Related Works
Subject References:
Geometry
.
Mathematics
.
Authors:
author
.
Bao, David 1953-
.
Chern, Shiing-shen 1911-2004
.
Shen, Zhongmin. 1963-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
516
.
.
ISBD Display
Catalogue Record 44749
.
Tag Display
Catalogue Record 44749
.
Related Works
Catalogue Record 44749
.
Marc XML
Catalogue Record 44749
.
Add Title to Basket
Catalogue Record 44749
.
Catalogue Information 44749
Beginning of record
.
Catalogue Information 44749
Top of page
.
Download Title
Catalogue Record 44749
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44749
1
44749
-
2
44749
-
3
44749
-
4
44749
-
5
44749
-
Quick Search
Search for