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| Lectures Notes by Gabriel Lugo University of North Carolina at Wilmington Copyright 1995, 2004, 2010 |
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Differential Geometry and Physics |
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| I. Vectors
and Curves 1.1 Tangent Vectors 1.2 Curves 1.3 Fundamental Theorem of Curves |
II. Differential forms 2.1 1-Forms 2.2 Tensors and Forms of Higher Rank 2.3 Exterior Derivatives 2.4 The Hodge-* Operator |
| III. Connections 3.1 Frames 3.2 Curvilinear Coordinates 3.3 Covariant Derivative 3.4 Cartan Equations |
IV Surfaces in R3 4.1 Manifolds 4.2 First Fundamental form 4.3 Second Fundamental Form 4.4 Curvature |
| Full set (DVI 228K) (ver1.8) | Full set (PDF 340Kb) (ver1.8) |