Continuity of the isoperimetric profile of a complete Riemannian manifold under sectional curvature conditions

Manuel Ritoré ^[1]
1. [1] Universidad de Granada
  
  Universidad de Granada
  
  Granada, España
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 1, 2017, págs. 239-250
Idioma: inglés
DOI: 10.4171/RMI/935
Texto completo no disponible (Saber más ...)
Resumen
- Let M be a complete Riemannian manifold possessing a strictly convex Lipschitz continuous exhaustion function. We show that the isoperimetric profile of M is a continuous and non-decreasing function. Particular cases are Hadamard manifolds and complete non-compact manifolds with strictly positive sectional curvatures.