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Bestseller
BestsellerE-book
Author Mo, Xiaohuan.

Title An introduction to Finsler geometry / Xiaohuan Mo.

Publication Info. Singapore ; Hackensack, NJ : World Scientific, [2006]
©2006

Item Status

Description 1 online resource (viii, 120 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Peking University series in mathematics ; v. 1
Peking University series in mathematics ; v. 1.
Bibliography Includes bibliographical references (pages 117-118) and index.
Contents Finsler manifolds -- Geometric quantities on a Minkowski space -- Chern connection -- Covariant differentiation and second class of geometric invariants -- Riemann invariants and variations of arc length -- Geometry of projective sphere bundle -- Relation among three classes of invariants -- Finsler manifolds with scalar curvature -- Harmonic maps from Finsler manifolds.
Summary 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 geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Finsler spaces.
Finsler spaces.
Manifolds (Mathematics)
Manifolds (Mathematics)
Geometry, Riemannian.
Geometry, Riemannian.
Genre/Form Electronic books.
Electronic books.
Other Form: Print version: Mo, Xiaohuan. Introduction to Finsler geometry. Singapore ; Hackensack, NJ : World Scientific, ©2006 9812567933 (DLC) 2006284743 (OCoLC)70787903
ISBN 9789812773715 (electronic book)
9812773711 (electronic book)
9812567933
9789812567932