An Introduction to Differentiable Manifolds and Riemannian Geometry

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Academic Press, Aug 22, 1975 - Mathematics - 423 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
105
Chapter V Tensors and Tensor Fields on Manifolds
174
Chapter Vl Integration on Manifolds
226
Chapter VII Differentiation on Riemannian Manifolds
293
Chapter VIII Curvature
361
References
413
Index
417
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About the author (1975)

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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