arXiv (Cornell University)
Harmonic Functions On Manifolds Whose Large Sphere Are Small
March 2015 • Gilles Carron
We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic functions.