A Liouville theorem on asymptotically Calabi spaces

Song Sun, Ruobing Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we will study harmonic functions on the complete and incomplete spaces with nonnegative Ricci curvature which exhibit inhomogeneous collapsing behaviors at infinity. The main result states that any nonconstant harmonic function on such spaces yields a definite exponential growth rate which depends explicitly on the geometric data at infinity.

Original languageEnglish (US)
Article number103
JournalCalculus of Variations and Partial Differential Equations
Volume60
Issue number3
DOIs
StatePublished - Jun 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A Liouville theorem on asymptotically Calabi spaces'. Together they form a unique fingerprint.

Cite this