I will prove the following surprising fact: on a given Kahler manifold (X, J, \omega), a Holder bound on the Kahler potential \phi implies a Holder bound on the distance function of the new Kahler metric \omega+dd^c \phi. Time permitting I will also discuss the ramifications of this result, and some backgrounds in pluripotential theory.
Distance estimate on Kähler manifolds
Member, School of Mathematics
Date & Time
December 02, 2019 | 5:00 – 6:00pm
Simonyi Hall 101