The Calabi flow with small initial energy

• Autores: Valentino Tosatti, Ben Weinkove
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 5, 2007, págs. 1033-1039
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n6.a11
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• Resumen

  • We show that on K\"ahler manifolds $M$ with $c_1(M)=0$ the Calabi flow converges to a constant scalar curvature metric if the initial Calabi energy is sufficiently small. We prove a similar result on manifolds with $c_1(M)<0$ if the K\"ahler class is close to the canonical class.