Notes on Differential Geometry by Matt Visser
Publisher: Victoria University of Wellington 2011
Number of pages: 246
In this text the author presents an overview of differential geometry, also known as the theory of manifolds. Topics covered: Topological Manifolds and differentiable structure; Tangent and cotangent spaces; Fibre bundles; Geodesics and connexions; Riemann curvature; Exterior differential forms; Lie derivatives; etc.
Mathematics Geometry & Topology Differential Geometry Introductory