Liouville properties of plurisubharmonic functions
classification
🧮 math.DG
math.AP
keywords
functionsmanifoldstheoremcompleteliouvilleplurisubharmonicproveapplications
read the original abstract
We prove a Liouville theorem for the plurisubharmonic functions on complete Kaelher manifolds. As the applications, we prove a splitting theorem for complete Kaehler manifolds with nonnegative biscetional curvature in terms of the linear growth harmonic functions and a optomal gap theorem for such manifolds.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.