Curvature of the completion of the space of Sasaki potentials

• Autores: Thomas Franzinetti
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 67, Nº 1, 2023, págs. 447-468
• Idioma: inglés
• DOI: 10.5565/PUBLMAT6712309
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• Resumen

  • 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