Constant mean curvature hypersurfaces in H n × R with small planar boundary

• Barbara Nelli ^[1] ; and Giuseppe Pipoli ^[1]
  1. [1] University of L'Aquila

     University of L'Aquila

     L'Aquila, Italia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 4, 2023, págs. 1387-1404
• Idioma: inglés
• DOI: 10.4171/RMI/1420
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• Resumen

  • We show that constant mean curvature hypersurfaces in Hn×R, with small and pinched boundary contained in a horizontal slice P, are topological disks provided they are contained in one of the two halfspaces determined by P. This is the analogous in Hn×R of a result in R3 by A. Ros and H. Rosenberg [J. Differential Geom. 44 (1996), 807–817].