Lecture Notes on Differentiable Manifolds
by Jie Wu
Publisher: National University of Singapore 2004
Number of pages: 78
Description:
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
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.
(3208 views)
Symplectic Geometryby Ana Cannas da Silva - 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.
(11568 views)
Differential Topologyby Bjorn Ian Dundas - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
(9765 views)
Contact Geometryby Hansjoerg Geiges - 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.
(10448 views)