Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840207 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 15 Pages |
Abstract
We consider the problem of conformally deforming a metric by a fully nonlinear flow on a compact manifold with totally geodesic boundary. We prove that the kk-curvature defined by the modified Schouten tensor always can be deformed in a natural way to a constant at exponential rate and the boundary preserves totally geodesic.
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Authors
Weimin Sheng, Li-Xia Yuan,