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Initiation is Global Finslerian Geometry
ID: 173060
Hassan Akbar-Zadeh
Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry. The first three chapters develop the basic problems in Finslerian Geometry. The Finslerian manifolds of constant sectional curvatures. Einstein manifolds, the classification of the Finslerian manifolds of constant sectional curvatures. . They also give a treatment on isometric, affine, projective and conformal vector fields on the unitary tangent fiber bundle.
Key features
- Theory of connections of vectors and directions on the unitary tangent fiber bundle.
- Complete list of Bianchi identities for a regular conection of directions.
- Geometry of generalized Einstein manifolds.
- Classification of Finslerian manifolds.
- Affine, isometric, conformal and projective vector fields on the unitary tangent fiber bundle.
- Theory of connections of vectors and directions on the unitary tangent fiber bundle.
- Complete list of Bianchi identities for a regular conection of directions.
- Geometry of generalized Einstein manifolds.
- Classification of Finslerian manifolds.
- Affine, isometric, conformal and projective vector fields on the unitary tangent fiber bundle.
Preface
Introduction
I. Linear Connections on a Space of Linear Elements
II. Finslerian Manifolds
III. Infinitesimal Transformation
IV. Geometry of Generalized Einstein Manifolds
V. Properties of Compact Finslerian Manifolds of Non-Negative Curvature
VI. Finslerian Manifolds of Constant Sectional Curvatures
VII. Projective Vector Fields on the Unitary Tangent Fiber Bundle
VIII. Conformal Vector Fields on the Unitary Tangent Fiber Bundle
References
173060
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Hassan Akbar-Zadeh