Q-curvature flow on 4-manifolds with boundary |
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Authors: | Cheikh Birahim Ndiaye |
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Institution: | 1. Mathematisches Institut der Eberhard-Karls-Universit?t T??bingen, Auf der Morgenstelle 10, 72076, T??bingen, Germany
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Abstract: | Given a compact four-dimensional smooth Riemannian manifold (M,g) with smooth boundary, we consider the evolution equation by Q-curvature in the interior keeping the T-curvature and the mean curvature to be zero. Using integral methods, we prove global existence and convergence for the Q-curvature flow to a smooth metric conformal to g of prescribed Q-curvature, zero T-curvature and vanishing mean curvature under conformally invariant assumptions. |
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