A Priori Estimates for the Homogeneous Monge-Ampère Equation on Kähler Manifolds
Katherine Ann Brubaker
10.25394/PGS.9730208.v1
https://hammer.purdue.edu/articles/thesis/A_Priori_Estimates_for_the_Homogeneous_Monge-Amp_re_Equation_on_K_hler_Manifolds/9730208
<div>This thesis investigates the existence of smooth solutions to MA(<i>F</i>), proving a priori estimates on the leaves of the foliation that corresponds to smooth solutions. We demonstrate that sequences of leaves of Monge-Amp`ere foliations converge to holomorphic disks.</div>
2019-10-16 18:48:17
complex geometry
several complex variables
Non-linear partial differential equations
foliation
Kahler manifolds
space of Kahler metrics
Monge-Ampere equation
Pure Mathematics not elsewhere classified
Mathematical Sciences not elsewhere classified