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A variational characterization for $sigma_{n/2}$
Authors:Simon?Brendle  author-information"  >  author-information__contact u-icon-before"  >  mailto:brendle@math.princeton.edu"   title="  brendle@math.princeton.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Jeff?A.?Viaclovsky
Affiliation:(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 $sigma_{k}(A_g) = constant$, 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.
Keywords:
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