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: Symplectic GeometrySymplectic Geometry
by - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(12907 views)
Book cover: Contact GeometryContact Geometry
by - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(11783 views)
Book cover: Lecture Notes on Differentiable ManifoldsLecture Notes on Differentiable Manifolds
by - National University of Singapore
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; etc.
(12335 views)
Book cover: Ricci Flow and the Poincare ConjectureRicci Flow and the Poincare Conjecture
by - American Mathematical Society
This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.
(13411 views)