Generalized Liouville Theorem in Nonnegatively Curved Alexandrov Spaces
Citation：
Bobo HUA.Generalized Liouville Theorem in Nonnegatively Curved Alexandrov Spaces[J].Chinese Annals of Mathematics B,2009,30(2):111~128
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Authors：
Bobo HUA;
Abstract：
In this paper, Yau’s conjecture on harmonic functions in Riemannian manifolds
is generalized to Alexandrov spaces. It is proved that the space of harmonic functions with
polynomial growth of a fixed rate is finite dimensional and strong Liouville theorem holds
in Alexandrov spaces with nonnegative curvature.
