Risa: Spherical rigidity of pinched ancient flows of hypersurfaces
Risa: A solution of a parabolic differential equation is ancient if it is defined for all negative times. They model the asymptotic shape of a compact submanifold evolving by a function of the extrinsic curvature as tangent flows if the second fundamental form blows up at a spherical scale. In 2014, Huisken and Sinestrari have shown that a uniform pinching condition on the curvature of a convex compact ancient solution of Mean Curvature Flow is sufficient to ensure it is a sphere shrinking by homotheties. An analogous result holds for more general fully nonlinear curvature flows: in particular, we consider spherical rigidity for evolutions by 1-homogeneous speeds and by powers of the Gaussian curvature. http://cvgmt.sns.it/seminar/687/
When
Thu Apr 11, 2019 2pm – 3pm Coordinated Universal Time
Where
sala seminari Dipartimento di Matematica Università di Pisa (map)
