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math.DG2005
Martin points on open manifolds of non-positive curvature
Jianguo Cao, Huijun Fan, Francois Ledrappier
The Martin boundary of a Cartan-Hadamard manifold describes a fine geometric structure at infinity, which is a sub-space of positive harmonic functions. We describe conditions whic…
math.DG2001
Harmonic Hopf Constructions Between Spheres II
Weiyue Ding, Huijun Fan, Jiayu Li
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications base…