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: 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.
(12583 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.
(13951 views)
Book cover: Differential Topology of Fiber BundlesDifferential Topology of Fiber Bundles
by - FAU Erlangen-Nuernberg
From the table of contents: Basic Concepts (The concept of a fiber bundle, Coverings, Morphisms...); Bundles and Cocycles; Cohomology of Lie Algebras; Smooth G-valued Functions; Connections on Principal Bundles; Curvature; Perspectives.
(11965 views)
Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
by
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(16938 views)