14 citations · 28 across the 4 of their papers we have counts for
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Global existence and convergence for a higher order flow in conformal geometry
Simon Brendle
We study a higher-order parabolic equation which generalizes the Ricci flow on two-dimensional surfaces. The metric is deformed conformally with a speed given by the Q-curvature of…
Complex anti-self-dual instantons and Cayley submanifolds
Simon Brendle
We describe a glueing construction for a certain self-dual reduction of the Yang-Mills equations in dimension 8.
On the construction of solutions to the Yang-Mills equations in higher dimensions
Simon Brendle
We describe a glueing construction for the Yang-Mills equations in dimension . Our method is based on a construction of approximate solutions, and a detailed analysis of the…
On solutions to the Ginzburg-Landau equations in higher dimensions
Simon Brendle
We establish a glueing theorem for the Ginzburg-Landau equations in dimension . To this end, we consider a nondegenerate minimal submanifold of codimension 2, and construct…