MAT 644: Topics in Differential Geometry

Existence Problems for Einstein Metrics

Fall 2003

Course Description. This course will be a selected survey of recent topics in the area of (Riemannian) Einstein metrics, mainly concerned with existence and uniqueness questions. Many topics will not be touched on at all - for instance Kahler-Einstein metrics or relations with Seiberg-Witten theory; the latter has been covered well by Claude LeBrun in earlier years.

No text will be used for the course per se. Two useful general references for Einstein metrics are

Otherwise, references to the literature will be given on each topic covered.

A possible list of topics to be discussed includes:

Fundamentally, there are many more open problems in this area than general theory, and many of these will be presented along the way.

Class Time and Place: Tu and Th 9:50 - 11:10 a.m., Physics, P-129.

Office Hours: MWF 1-2pm

Americans with Disability Act. If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.
Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disabled Student Services. For procedures and information, go the following website:, here