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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
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