Pluripotential estimates on compact Hermitian manifolds

2009

56 citations recorded by the source corpus.

Citations in the corpus

Convergence of the parabolic complex Monge-Amp\`ere equation on compact Hermitian manifolds (2010, unknown): “hat the balanced condition is not necessary and the result holds on a general Hermitian manifold. Dinew and Kolodziej studied (2) in the Hermitian setting with weaker conditions on the regularity of F[8]. In this paper we prove the following theorem. Theorem1.1.R Let (M,g) be a compact Hermitian man”
The Chern–Ricci flow on complex surfaces (2012, unknown): “Gill’s result makes use of the C0 estimate of the authors [57] for the Hermitian complex Monge-Ampère equation (see also [13, 25, 14, 3]).”
On the evolution of a Hermitian metric by its Chern-Ricci form (2011, unknown): “∂ϕ)n = eFωn, ω′ := ω+ √ −1∂∂ϕ>0, on a compact Hermitian manifold (M,ω), where Fis a smooth function on M. We give an alternative proof of a result of [54] that kϕkC0 is uniformly bounded (see also [4, 12]). The result makes use of a new second order estimate in this context: trωω′ 6 CeA(ϕ−infM ϕ)”
The Monge–Ampère equation for non-integrable almost complex structures (2016, unknown): “1) has a unique solution for ω Hermitian, up to adding a (unique) constant to F (see also [45, 24], as well as [4, 9, 14, 29, 30, 32, 35, 40, 49, 57, 58] for later developments).”