 |
MAT 568 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TTh 10:10-11:10
|
MAT 568 |
Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TTh 10:10-11:10
This course constitutes the first half of a two-semester
introduction to
Riemannian geometry. Presupposing only a basic
familiarity with
manifolds and tensor fields, we will first develop
a working knowledge of Riemannian metrics, connections, and curvature.
We will then begin our study of the interplay between
topology and curvature.
Prerequisite: Geometry/Topology II, a passing grade
on the comprehensive exam, or the professor's expressed permission.
Text:
Riemannian Geometry, by Manfredo Do Carmo, Birkhäuser, 1992.
Homework exercises will be assigned frequently, but only collected on a sporadic
basis. You will be expected to work all of these in complete detail.
Failure to do so may result in a complete
inability
to understand much of the material.
Grades will be based on homework and class participation.
The Professor may be reached by e-mail at . This is the best method for making appointments outside normal office hours.
DSS advisory.
If you have a physical, psychiatric,
medical, or learning
disability that could adversely affect
your ability to carry
out assigned course work, please contact
the Disabled Student
Services office (DSS),
Educational Communications Center
(ECC) Building, room 128, (631) 632-6748.
DSS will
review your
situation and determine, with you, what accommodations are
necessary and appropriate. All information and documentation
regarding
disabilities will be treated as strictly confidential.
Students for whom special evacuation procedures might be necessary
in
the event of
an emergency are encouraged to discuss their
needs with both
the instructor and with DSS.
Important information regarding these issues
can also be found at the following web site:
http://ws.cc.stonybrook.edu/ehs/fire/disabilities.shtml