29 citations · 62 across the 8 of their papers we have counts for
4 papers · 1 filter
The continuity equation, Hermitian metrics and elliptic bundles
Morgan Sherman, Ben Weinkove
We extend the continuity equation of La Nave-Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern-Ricci flow, and…
Local Calabi and curvature estimates for the Chern-Ricci flow
Morgan Sherman, Ben Weinkove
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.
Interior derivative estimates for the Kähler-Ricci flow
Morgan Sherman, Ben Weinkove
We give a maximum principle proof of interior derivative estimates for the Kähler-Ricci flow, assuming local uniform bounds on the metric.
Convergence properties of Donaldson's -iterations on the Riemann sphere
Morgan Sherman
In a recent paper Donaldson defines three operators on a space of Hermitian metrics on a complex projective manifold: Iterations of these operators converge to balan…