Introduction to Finsler Geometry

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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 bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and…

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    Om Introduction to Finsler Geometry

    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.Contents: Finsler ManifoldsGeometric Quantities on a Minkowski SpaceChern ConnectionCovariant Differentiation and Second Class of Geometric InvariantsRiemann Invariants and Variations of Arc LengthGeometry of Projective Sphere BundleRelation Among Three Classes of InvariantsFinsler Manifolds with Scalar CurvatureHarmonic Maps from Finsler ManifoldsReadership: Researchers and graduate students in pure mathematics.

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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2006
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789812773715
    Sider
    128

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