John M. Lee, Riemannian Manifolds: An Introduction to Curvature

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"John M. Lee, Riemannian Manifolds: An Introduction to Curvature" is a widely used graduate-level textbook that develops the theory of Riemannian geometry with an emphasis on curvature and its geometric and analytic consequences.

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J. Lee, Introduction to Smooth Manifolds relatedWork John M. Lee, Riemannian Manifolds: An Introduction to Curvature