On the quasisymmetric Hölder-equivalence problem for Carnot groups

Abstract

A variant of Gromov's H{ö}lder-equivalence problem, motivated by a pinching problem in Riemannian geometry, is discussed. A partial result is given. The main tool is a general coarea inequality satisfied by packing energies of maps.

References in corpus (2)

• A solution of Gromov's Hölder equivalence problem for the Heisenberg group
• Pincement du plan hyperbolique complexe

Cited by in corpus (1)

• Sublinear quasiconformality and the large-scale geometry of Heintze groups