2008 DG-MP-PDE Seminar-13

  • Date: 10/14/2008
Weiyong He (UBC)

University of British Columbia


The space of volume forms


Donaldson introduced a metric and a geometric structure on the space of
volume forms on any compact Rimannian manifold. The geodesic equation
is a degenerate fully nonlinear elliptic equation. Also this equation
is relevant to many interesting problems such as Namh's equation and
some interesting free boudary equations. Also the space of volume forms
coincides with the conformal class, the probability space. In this talk
we try to solve the geodesic equation and its perturbation equation
also. This is a joint work with X. Chen.


3:30pm, WMAX 110