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The $L^1$ Liouville Property on Weighted manifolds
- Publication Year :
- 2014
-
Abstract
- We consider a complete noncompact smooth metric measure space $(M^n,g,e^{-f} dv)$ and the associated drifting Laplacian. We find sufficient conditions on the geometry of the space so that every nonnegative $f$-subharmonic function with bounded weighted $L^1$ norm is constant.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1402.6170
- Document Type :
- Working Paper