A. V. Tyrin, “The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional”, Mat. Sb. (N.S.), 1987, Volume 132(174), Number 3,Pages <nobr>401

The regularity of maps of Riemannian manifolds that minimize the multidimensional Dirichlet functional

A. V. Tyrin

Abstract: The author establishes the regularity of maps from Riemannian manifolds of small dimensions into certain homogeneous spaces with metrics near to the invariant metrics that locally minimize the multidimensional Dirichlet functional (energy).
Bibliography: 21 titles.

UDC: 517.97

MSC: 58E20

Received: 16.12.1985