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This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical
Introduction to Riemannian Manifolds
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This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical
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This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex
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A first approximation to the idea of a foliation is a dynamical system, and the resulting decomposition of a domain by its trajectories. This is an idea that da
Geometric Mechanics on Riemannian Manifolds
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* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en