DIFFERENTIAL GEOMETRY 1
MTG 6256
Section 7634
Instructor: Paul Robinson
Class: MWF 6; 221 Little Hall
Office: M 4, 8 ; W 7
Text: Class notes
This course will cover the
fundamentals of abstract differential geometry: after an introductory
account of topological manifolds, it will offer detailed treatments of
smooth manifolds and the various structures that are naturally defined
upon them, including smooth maps, vector fields and differential forms.
Though the underlying tenor of the course will be abstract, there will
be numerous examples and applications to illustrate the theory and its
connexions with other parts of mathematics.
There will be no required textbook for the course. Appropriate
references include:
M. Spivak, "A Comprehensive Introduction to
Differential Geometry, Volume I"
F. Warner, "Foundations of Differentiable
Manifolds and Lie Groups"
L. Conlon, "Differentiable Manifolds - A First
Course"
Grades
will be assigned (according to the usual scale) on the basis of
performance in homework projects, all of which which will be equally
weighted and the lowest of which will be dropped.