Some old and new results about rigidity of critical metric

• Gilles Carron ^[1]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 13, Nº 4, 2014, págs. 1091-1113
• Idioma: inglés
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• Resumen

  • We present a new proof of a recent ✏-regularity of G. Tian and J.Viaclovsky. Our idea also provides a new proof of a classical result of M. Anderson about volume rigidity of Einstein manifolds. Eventually, we also obtain new rigidity results for critical metrics.