Calculus of Variations and Geometric Measure Theory
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Minimal Hypersurfaces in compact symmetric spaces

Marco Radeschi

created by mari1 on 14 May 2019

17 may 2019 -- 13:30   [open in google calendar]

Scuola Normale Superiore, aula Bianchi Lettere


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

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