Mathematical Research Letters

Volume 3, Issue 2, March 1996 pp. 241-246.

On Function Theory on Spaces with a Lower Ricci Curvature Bound

Authors: Tobias H. Colding and William P. Minicozzi II
Author institution: Courant Institute of Mathematical Sciences, and Johns Hopkins University

Summary: In this announcement, we describe some results of an ongoing investigation of function theory on spaces with a lower Ricci curvature bound. In particular, we announce results on harmonic functions of polynomial growth on open manifolds with nonnegative Ricci curvature and Euclidean volume growth.

Contents Full-Text PDF