(1) Department of Mathematics, Princeton University, NJ 08544 Princeton, USA;(2) Department of Mathematics, MIT, MA 02139 Cambridge, UK
Abstract:
We present here a conformal variational characterization in dimension n = 2k of the equation , where A is the Schouten tensor. Using the fully nonlinear parabolic flow introduced in [3], we apply this characterization to the global minimization of the functional.Received: 31 March 2003, Accepted: 10 July 2003, Published online: 25 February 2004Research supported in part by an NSF Postdoctoral Fellowship.