Curvature of the Completion of the Space of Sasaki Potentials

DOI10.5565/PUBLMAT6712309arXiv2003.08781MaRDI QIDQ6337035

Publication date: 19 March 2020

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.

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Potential theory on Riemannian manifolds and other spaces (31C12) Complex Monge-Ampère operators (32W20)

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