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Peter Smillie

2013-10-29
15:30:00 - 17:00:00

R202 , Astronomy and Mathematics Building

I will explain Sullivan's characterization of foliated manifolds that admit metrics such that all leaves have zero mean curvature. I may also touch on some other types of geometric foliations, for example foliations with leaves of positive scalar curvature.

References:
(1) Dennis Sullivan: A homological characterization of foliations consisting of minimal surfaces, Comm. Math. Helv., 54, 1979, pp 218-223.
(2) Pierre Molino’s book: Riemannian foliations, Birkhäuser, 1988.