Logo

Introduction to Differential Topology, de Rham Theory and Morse Theory

Small book cover: Introduction to Differential Topology, de Rham Theory and Morse Theory

Introduction to Differential Topology, de Rham Theory and Morse Theory
by

Publisher: Radboud University
Number of pages: 80

Description:
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; Perspectives.

Home page url

Download or read it online for free here:
Download link
(550KB, PDF)

Similar books

Book cover: Contact TopologyContact Topology
by - 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.
(528 views)
Book cover: Manifolds of Differentiable MappingsManifolds of Differentiable Mappings
by - Birkhauser
This book is devoted to the theory of manifolds of differentiable mappings and contains result which can be proved without the help of a hard implicit function theorem of nuclear function spaces. All the necessary background is developed in detail.
(6539 views)
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.
(7319 views)
Book cover: Differentiable ManifoldsDifferentiable Manifolds
by
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.
(13546 views)