The evolution of the scalar curvature of a surface to a prescribed function

• Paul Baird ^[1] ; Ali Fardoun ^[1] ; Rachid Regbaoui ^[1]
  1. [1] Université de Brest, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 1, 2004, págs. 17-38
• Idioma: inglés
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• Resumen

  • We investigate the gradient flow associated to the prescribed scalar curvature problem on compact Riemannian surfaces. We prove the global existence and the convergence at infinity of this flow under sufficient conditions on the prescribed function, which we suppose just continuous. In particular, this gives a uniform approach to solve the prescribed scalar curvature problem for general compact surfaces.