Local curvature estimates along the $\kappa$-LYZ flow

Abstract

In this paper we prove a local curvature estimate for the $\kappa$-LYZ flow over Kähler manifolds introduced in [FGP1] and [LYZ]. In particular, we generalize the long time existence of the flow.

23 pages; revised

References in corpus (3)

• On the constant scalar curvature Kähler metrics, existence results
• On the constant scalar curvature Kähler metrics, general automorphism group
• On the constant scalar curvature Kähler metrics, apriori estimates

Cited by in corpus (1)

• Curvature pinching estimate under the Laplacian G_{2} flow