Globally Existing Kähler-Ricci Flows

Abstract

We consider the general Kähler-Ricci flows which exist for all time. The zeroth order control on the flow metric potential for various infinite time singularities is the focus. The possible semi-amplness for numerically effective classes serves as the main motivation.

10 pages, an extended and generalized version

References in corpus (3)

• Geometry and nonlinear analysis
• Convergence of Kähler-Ricci flow on lower dimensional algebraic manifolds of general type
• A priori $L^{\infty }$-estimates for degenerate complex Monge-Ampère equations