Liouville properties

The classical Liouville theorem states that a bounded harmonic function on allofRnmust be constant. In the early 1970s, S.T. Yau vastly generalized this, showing that itholds for manifolds with nonnegative Ricci curvature. Moreover, he conjectured a strongerLiouville property that has generated many...

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Bibliographic Details
Main Authors: Colding, Tobias, Minicozzi, William
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: International Press of Boston 2020
Online Access:https://hdl.handle.net/1721.1/124164