A note on existence of exhaustion functions and its applications

Abstract

In this note, we prove an existence result on exhaustion functions adapting the method by L.-F. Tam. Then we apply it to prove short-time existence of Ricci flow and study Yau's uniformization conjecture using similar method as Fei He and Lee-Tam.

11 pages

References in corpus (5)

• Existence and applications of Ricci flows via pseudolocality
• Chern-Ricci flows on noncompact complex manifolds
• On existence and curvature estimates of Ricci flow
• On Yau's uniformization conjecture
• Gromov-Hausdorff limits of Kähler manifolds with bisectional curvature lower bound I