Acta mathematica scientia, Series B >
DEFORMING METRICS WITH POSITIVE CURVATURE BY A FULLY NONLINEAR FLOW
Received date: 2007-11-06
Revised date: 2008-12-03
Online published: 2011-01-20
Supported by
Part of this article is the first author's bachelor thesis dissertation in Zhejiang University. Research supported by NSFC (10771189 and 10831008)
By studying a fully nonlinear flow deforming conformal metrics on a compact and connected manifold, we prove the long time existence and the exponential convergence of the solutions of the flow for any initial metric g0 with the Schouten tensor Ag0∈Γk.
Key words： Fully nonlinear flow; conformal metrics; Schouten tensor
YUE Yun , SHENG Wei-Min . DEFORMING METRICS WITH POSITIVE CURVATURE BY A FULLY NONLINEAR FLOW[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 159 -171 . DOI: 10.1016/S0252-9602(11)60217-8
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