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arXiv:1003.1707 [math.DG]AbstractReferencesReviewsResources

The gradient flow of the $L^2$ curvature energy near the round sphere

Jeff Streets

Published 2010-03-08Version 1

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.

Categories: math.DG, math.AP
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