Curvature of the completion of the space of Sasaki potentials
Franzinetti, Thomas (Sorbonne Université)

Date:	2023
Abstract:	Given a compact Sasaki manifold, we endow the space of the Sasaki potentials with an analogue of the Mabuchi metric. We show that its metric completion is negatively curved in the sense of Alexandrov.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; Versió publicada
Subject:	Sasaki manifolds ; Negatively curved metric spaces ; Monge-ampère equations ; Energy classes
Published in:	Publicacions matemàtiques, Vol. 67 Núm. 1 (2023) , p. 447-447-468 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/412709
DOI: 10.5565/PUBLMAT6712309

22 p, 412.0 KB

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