On the Relaxation of a Class of Functionals Defined on Riemannian Distances

Andrea Davini

Abstract

We study the relaxation of a class of functionals defined on distances induced by isotropic Riemannian metrics on an open subset of RN. We prove that isotropic Riemannian metrics are dense in Finsler ones and we show that the relaxed functionals admit a specific integral representation.

Author information

Contact details are reproduced from the original publication and may be historical.

Andrea Davini

Dip. di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa, Italy

davini@dm.unipi.it

Keywords

Riemannian and Finsler metrics
relaxation
Gamma convergence

Suggested citation

A. Davini. “On the Relaxation of a Class of Functionals Defined on Riemannian Distances.” Journal of Convex Analysis 12 (2005), No. 1, 113–130.