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تسجيل مستخدم جديدThe gradient flow of the $L^2$ curvature energy near the round sphere
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Jeff Streets
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We investigate the low-energy behavior of the gradient flow of the $L^2$ norm of the Riemannian curvature on four-manifolds. Specifically, we show long time existence and exponential convergence to a metric of constant sectional curvature when the initial metric has positive Yamabe constant and small initial energy.
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