Introduction to differentiable manifolds/
Louis, Auslander.
Introduction to differentiable manifolds/ Louis Auslander, Robert E. MacKenzie. - New York: Dover, 2011. - v, 218 p. : ill. ; 21 cm.
Chapter 1 Euclidean, Affine, and Differentiable
Structure on R" 1
Chapter 2 Differentiable Manifolds 24
Chapter 3 Projective Spaces and Projective
Algebraic Varieties 52
Chapter 4 The Tangent Bundle of a Differentiable
Manifold 71
Chapter 5 Submanifolds and Riemann Metrics 87
Chapter 6 The Whitney Imbedding Theorem 106
Chapter 7 Lie Groups and Their One-parameter
Sub-groups 117
Chapter 8 Integral Manifolds and Lie Subgroups 135
Chapter 9 Fiber Bundles 158
Chapter 10 Multilinear Algebra 186
References 213
Index 214
9780486471723
Differentiable manifolds
Differential topology
516.36 / LOU/I
Introduction to differentiable manifolds/ Louis Auslander, Robert E. MacKenzie. - New York: Dover, 2011. - v, 218 p. : ill. ; 21 cm.
Chapter 1 Euclidean, Affine, and Differentiable
Structure on R" 1
Chapter 2 Differentiable Manifolds 24
Chapter 3 Projective Spaces and Projective
Algebraic Varieties 52
Chapter 4 The Tangent Bundle of a Differentiable
Manifold 71
Chapter 5 Submanifolds and Riemann Metrics 87
Chapter 6 The Whitney Imbedding Theorem 106
Chapter 7 Lie Groups and Their One-parameter
Sub-groups 117
Chapter 8 Integral Manifolds and Lie Subgroups 135
Chapter 9 Fiber Bundles 158
Chapter 10 Multilinear Algebra 186
References 213
Index 214
9780486471723
Differentiable manifolds
Differential topology
516.36 / LOU/I