Under asymptotic lower bound assumptions, all solutions of the Liouville equation on surfaces with nonnegative Ricci curvature are classified and the ambient manifold is shown to be rigid.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Classification results of Liouville equations and rigidity of Riemannian surfaces
Under asymptotic lower bound assumptions, all solutions of the Liouville equation on surfaces with nonnegative Ricci curvature are classified and the ambient manifold is shown to be rigid.