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arXiv:1208.2718 [math.DG]AbstractReferencesReviewsResources

Long time existence of Minimizing Movement solutions of Calabi flow

Jeff Streets

Published 2012-08-13, updated 2012-12-03Version 3

We recast the Calabi flow in DeGiorgi's language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with arbitrary initial condition. Furthermore we establish some a priori regularity of these solutions, and that sufficiently regular minimizing movements are smooth solutions to Calabi flow.

Comments: 2 figures, some corrections made
Categories: math.DG, math.AP
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