
Introduction to Differential Topology
by Uwe Kaiser
Publisher: Boise State University 2006
Number of pages: 110
Description:
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. Also many more examples of manifolds like matrix groups and Grassmannians are worked out in detail.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Differentiable Manifoldsby Nigel Hitchin
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.
(21767 views)
Contact Topologyby George Torres, Robert Gompf - University of Texas at Austin
This is a course on contact manifolds, which are odd dimensional manifolds with an extra structure called a contact structure. Most of our study will focus on three dimensional manifolds, though many of these notions hold for any odd dimension.
(6374 views)
Lectures on Differential Topologyby Riccardo Benedetti - arXiv.org
This text is a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures. It is geared toward beginning master's and doctoral students with an undergraduate mathematics background.
(1706 views)
Tight and Taut Submanifoldsby Thomas E. Cecil, Shiing-shen Chern - 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.
(14280 views)