Description

Book Synopsis
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.

Table of 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.

Introduction To Finsler Geometry, An

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A Hardback by Xiaohuan Mo

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    View other formats and editions of Introduction To Finsler Geometry, An by Xiaohuan Mo

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 18/04/2006
    ISBN13: 9789812567932, 978-9812567932
    ISBN10: 9812567933
    Also in:
    Analytic geometry

    Description

    Book Synopsis
    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.

    Table of 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.

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