On the curvature of rectifiable varifolds with bounded mean curvature

7 November 2019
7 November 2019
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it

Venue: Povo Zero, via Sommarive 14 (Povo) - Sala Seminari "-1"
Time: 2:30 p.m.

Speaker:

  • Mario Santilli (University of Augsburg)

Abstract:

In the first part of the talk I introduce a notion of normal bundle and second fundamental form for all closed subsets of the Euclidean space. Then I employ these notions to study the curvature properties of rectifiable varifolds with bounded distributional mean curvature and uniform lower bound on the density. In particular, I obtain the Coarea formula for the generalized Gauss map of a varifold in the aforementioned class (extending a classical result valid for smooth submanifolds) and prove that the support of such a varifold must be C2 –rectifiable.

Contact person: Gian Paolo Leonardi