MAT 644 
Topics in Differential Geometry 
Fall 2006 
TuTh 2:20-3:40
ESS 177

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TTh 10:15-11:15.

Einstein Manifolds

An Einstein metric is, by definition, a Riemannian metric of constant Ricci curvature. This course will attempt to survey the current state of our knowledge concerning the existence and uniqueness of Einstein metrics on smooth, compact manifolds. One specific goal of the course will be to discuss the recent work of Boyer, Galicki, Kollár, et al. on the existence of Einstein metrics on odd-dimensional manifolds.

The lectures will presuppose a basic, core knowledge of Riemannian geometry, roughly at the level of MAT 568. Some familiarity with Kähler metrics, say at the level of MAT 545, would also be helpful.

Grades will be based upon class participation.

The Professor may be reach by e-mail by .
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: