Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics

• Autores: Xiuxiong Chen, Song Sun
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 180, Nº 2, 2014, págs. 407-454
• Idioma: inglés
• DOI: 10.4007/annals.2014.180.2.1
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• Resumen

  • We prove that constant scalar curvature Kähler metric �adjacent� to a fixed Kähler class is unique up to isomorphism. The proof is based on the study of a fourth order evolution equation, namely, the Calabi flow, from a new geometric perspective, and on the geometry of the space of Kähler metrics