Asymptotic estimates and compactness of expanding gradient Ricci solitons

• Alix Deruelle ^[1]
  1. [1] Institut de Mathématiques de Jussieu de Paris, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 17, Nº 2, 2017, págs. 485-530
• Idioma: inglés
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• Resumen

  • We first investigate the asymptotics of conical expanding gradient Ricci solitons by proving sharp decay rates to the asymptotic cone both in the generic and in the asymptotically Ricci flat case. We then establish a compactness theorem concerning nonnegatively curved expanding gradient Ricci solitons.