Local Calabi and curvature estimates for the Chern-Ricci flow

Abstract

Assuming local uniform bounds on the metric for a solution of the Chern-Ricci flow, we establish local Calabi and curvature estimates using the maximum principle.

14 pages

References in corpus (2)

• Taming symplectic forms and the Calabi-Yau equation
• Collapsing of Products Along the Kähler-Ricci Flow

Cited by in corpus (13)

• The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
• Inoue surfaces and the Chern-Ricci flow
• The conical Kähler-Ricci flow on Fano manifolds
• The Chern-Ricci flow on Oeljeklaus-Toma manifolds
• The Chern-Ricci flow on smooth minimal models of general type
• Local curvature estimates of long-time solutions to the Kähler-Ricci flow
• The Chern-Ricci flow
• Long time existence of the (n-1)-plurisubharmonic flow
• Regularity of A Complex Monge-Ampère Equation on Hermitian Manifolds
• Leafwise flat forms on Inoue-Bombieri surfaces
• The Kähler-Ricci flow on compact Kähler manifolds
• Hermitian manifolds with quasi-negative curvature
• The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds