Abstract: Thanks to Gromov’s pre-compactness theorem and the work of Cheeger and Colding, any complete n-manifold with nonnegative Ricci curvature and Euclidean volume growth is asymptotic to a family of cones at infinity in the pointed Gromov-Hausdorff sense. When $n=4$ a naive argument neglecting all the regularity issues suggests that the sections of these cones at infinity are positively Ricci curved and hence homeomorphic to spherical space forms, by Hamilton’s work. I will discuss joint work with Elia Bruè and Alessandro Pigati where we make this argument rigorous.
The large scale structure of 4-manifolds with nonnegative Ricci curvature and Euclidean volume growth
08.11.2024 09:45 - 11:00
Organiser:
DIANA group
Location: