On the existence of extremal metrics for L2-norm of scalar curvature on closed 3-manifolds
Journal
Journal of Mathematics of Kyoto University
Journal Volume
39
Journal Issue
3
Pages
435-454
Date Issued
1999
Author(s)
Wu, J.-T.
Abstract
In this paper, based on Bochner formula, mass decay estimates and elliptic Moser iteration, we show the global existence and asymptotic convergence of a subsequence of solutions of Calabi flow on some closed 3-manifolds, and then the existence of extermal metrics of L2-norm of scalar curvature functional on a fixed conformal class is claimed. In particular, we may re-solve part of the Yamabe conjecture on closed 3-manifolds.
Type
journal article