Regularity of Spheres in Metric Groups

2 marzo 2015
2 marzo 2015

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari
Ore 15:00

Relatore:

  • Sebastiano Nicolussi Golo (dottorando in cotutela delle Università di Trento e Jyvaskila)

Abstract:
We study the possible regularities of spheres in graded groups for distances that are 1-homogeneous with respect to a family of dilations. SubRiemannian and subFinsler Carnot groups are examples of graded groups.
In fact, we are interested in rectifiability properties, presence of cusps, and finiteness of Riemannian surface area of such spheres. In particular, we present a more precise analysis for the Heisenberg group.

Referente: Francesco Serra Cassano

Download