University of Illinois at Urbana-Champaign
Department of Mathematics
Colloquium
by
Prof. Claude LeBrun
Orange & Blue Bar

4:00 PM, Thursday, March 12, 1998, 245 Altgeld Hall.

Orange & Blue Bar

Four-Dimensional Einstein Manifolds
A Riemannian metric is called Einstein if it has constant Ricci curvature. My talk will survey the current state of our knowledge regarding the existence and uniqueness of such metrics on smooth compact 4-manifolds.

References:

  1. C. LeBrun, "Einstein Metrics and Mostow Rigidity," Math. Res. Lett. 2 (1995) 1-8.

  2. C. LeBrun, "Four-Manifolds without Einstein Metrics," Math. Res. Lett.3 (1996) 133-147.