Lecture Notes on Differentiable Manifolds

Small book cover: Lecture Notes on Differentiable Manifolds

Lecture Notes on Differentiable Manifolds

Publisher: National University of Singapore
Number of pages: 78

Contents: Tangent Spaces, Vector Fields in Rn and the Inverse Mapping Theorem; Topological and Differentiable Manifolds, Diffeomorphisms, Immersions, Submersions and Submanifolds; Examples of Manifolds; Fibre Bundles and Vector Bundles; Tangent Bundles and Vector Fields; Riemann Metric and Cotangent Bundles; Tensor Bundles, Tensor Fields and Differential Forms; Orientation and Integration; The Exterior Derivative and the Stokes Theorem.

Download or read it online for free here:
Read online
(online reading)

Similar books

Book cover: Differentiable ManifoldsDifferentiable Manifolds
The historical driving force of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. This text is occupied with the theory of differential forms and the exterior derivative.
Book cover: Introduction to Differential Topology, de Rham Theory and Morse TheoryIntroduction to Differential Topology, de Rham Theory and Morse Theory
by - Radboud University
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.
Book cover: Introduction to Differential TopologyIntroduction to Differential Topology
by - Boise State University
This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Many examples of manifolds are worked out in detail.
Book cover: Tight and Taut SubmanifoldsTight and Taut Submanifolds
by - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.