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Curvature of the Completion of the Space of Sasaki Potentials

Published 19 Mar 2020 in math.DG and math.CV | (2003.08781v2)

Abstract: Given a compact Sasaki manifold, we endow the space of the Sasaki potentials with an analogue of Mabuchi metric. We show that its metric completion is negatively curved in the sense of Alexandrov.

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