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Abstract: We investigate the low-energy behavior of the gradient flow of the $L^2$ normof the Riemannian curvature on four-manifolds. Specifically, we show long timeexistence and exponential convergence to a metric of constant sectionalcurvature when the initial metric has positive Yamabe constant and smallinitial energy.



Autor: Jeff Streets

Fuente: https://arxiv.org/







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