Book:Louis Auslander/Introduction to Differentiable Manifolds

Louis Auslander and Robert E. MacKenzie: Introduction to Differential Manifolds

Published $\text {1963}$, Dover Publications

ISBN 0-486-47172-1

Subject Matter

• Topology

Contents

Preface

Chapter 1 Euclidean, Affine and Differentiable Structure on $R^n$

Chapter 2 Differentiable Manifolds

Chapter 3 Projective Spaces and Projective Algebraic Varieties

Chapter 4 The Tangent Bundle of a Differentiable Manifold

Chapter 5 Submanifolds and Riemann Metrics

Chapter 6 The Whitney Imbedding Theorem

Chapter 7 Lie Groups and Their One-parameter Sub-groups

Chapter 8 Integral Manifolds and Lie Subgroups

Chapter 9 Fiber Bundles

Chapter 10 Multilinear Algebra

References

Index

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• 1963: Louis Auslander and Robert E. MacKenzie: Introduction to Differentiable Manifolds ... (previous) ... (next): Euclidean, Affine, and Differentiable Structure on $R^n$: $\text {1-1}$: Euclidean $n$-Space, Linear $n$-Space, and Affine $n$-Space