An Introduction to Differentiable Manifolds and Riemannian Geometry

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Academic Press, Apr 21, 1986 - Mathematics - 429 pages
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An Introduction to Differentiable Manifolds and Riemannian Geometry
 

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Contents

Chapter I Introduction to Manifolds
1
Chapter II Functions of Several Variables and Mappings
20
Chapter III Differentiable Manifolds and Submanifolds
51
Chapter IV Vector Fields on a Manifold
106
Chapter V Tensors and Tensor Fields on Manifolds
176
Chapter VI Integration on Manifolds
229
Chapter VII Differentiation on Riemannian Manifolds
297
Chapter VIII Curvature
365
References
417
Index
423
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About the author (1986)

William Boothby received his Ph.D. at the University of Michigan and was a professor of mathematics for over 40 years. In addition to teaching at Washington University, he taught courses in subjects related to this text at the University of Cordoba (Argentina), the University of Strasbourg (France), and the University of Perugia (Italy).

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