Radeschi: Minimal Hypersurfaces in compact symmetric spaces
Radeschi: A conjecture of Marquez-Neves-Schoen says that for every embedded minimal hypersurface M in a manifold of positive Ricci curvature, the first Betti number of M is bounded above linearly by the index of M. We will show that for every compact symmetric space this result holds, up to replacing the index of M with its extended index (index plus nullity). Moreover, we provide families of examples for which the actual conjecture holds for an open set of metrics. These results are joint works with R. Mendes and C. Gorodski http://cvgmt.sns.it/seminar/695/
When
Fri May 17, 2019 11:30am – 12:30pm Coordinated Universal Time
Where
Scuola Normale Superiore, aula Bianchi Lettere (map)
