CONNECTIONS, SPRAYS AND FINSLER STRUCTURES

CONNECTIONS, SPRAYS AND FINSLER STRUCTURES

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This textbook introduces the reader to modern differential geometry through Finsler geometry, without relying on any previous knowledge of differential geometry. In discussing the general theory of manifolds and bundles, the authors give a detailed, clear and precise description of the fundamental concepts and ideas. The discussion of the tangent bundle and some related structures is exhaustive. From that point, several useful subtleties and technical tricks often neglected in other textbooks are presented. In the early chapters, the conventions, notation and terminology are set out. The linea...