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Lectures on Differential Geometry I

Will J. Merry ()
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Will J. Merry: ETH Zürich, Departement Mathematik

in Springer Books from Springer

Date: 2026
ISBN: 978-3-032-03733-6
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Chapters in this book:

Ch Chapter 1 Smooth Manifolds
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Ch Chapter 10 Lie Groups
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Ch Chapter 11 The Lie Algebra of a Lie Group
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Ch Chapter 12 Smooth Actions of Lie Groups
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Ch Chapter 13 Homogeneous Spaces
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Ch Chapter 14 Distributions and Integrability
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Ch Chapter 15 Foliations and the Frobenius Theorem
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Ch Chapter 16 Bundles
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Ch Chapter 17 The Fibre Bundle Construction Theorem
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Ch Chapter 18 Associated Bundles
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Ch Chapter 19 Tensor and Exterior Algebras
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Ch Chapter 2 Tangent Spaces
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Ch Chapter 20 Sections of Vector Bundles
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Ch Chapter 21 Tensor Fields
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Ch Chapter 22 The Lie Derivative Revisited
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Ch Chapter 23 The Exterior Differential
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Ch Chapter 24 Orientations and Manifolds with Boundary
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Ch Chapter 25 Smooth Singular Cubes
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Ch Chapter 26 Stokes’ Theorem
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Ch Chapter 27 The Poincaré Lemma and the de Rham Theorem
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Ch Chapter 3 Partitions of Unity
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Ch Chapter 4 The Derivative
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Ch Chapter 5 The Tangent Bundle
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Ch Chapter 6 Submanifolds
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Ch Chapter 7 The Whitney Theorems
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Ch Chapter 8 Vector Fields
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Ch Chapter 9 Flows
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DOI: 10.1007/978-3-032-03733-6

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