Colloquium - "Denseness of minimal hypersurfaces for generic metrics", Fernando Coda Marques
Fernando Coda Marques
Denseness of minimal hypersurfaces for generic metrics
For almost all Riemannian metrics, in the smooth Baire sense, on a closed manifold of dimension between 3 and 7, we prove that the union of all smooth, closed, embedded minimal hypersurfaces is dense. This implies there are infinitely many minimal hypersurfaces thus proving a conjecture of Yau (1982) for generic metrics. This is joint work with K. Irie and A. Neves.
Refreshments will be available at 3:00 pm in HH/216