The principal curvature theorem and its applications to constant mean curvature hypersurfaces in Euclidean space

  1. Alías Linares, Luis José 1
  2. Martínez, García
  3. Meléndez, Josué
  1. 1 Universidad de Murcia
    info

    Universidad de Murcia

    Murcia, España

    ROR https://ror.org/03p3aeb86

Revista:
Matemática Contemporânea

ISSN: 2317-6636

Año de publicación: 2022

Volumen: 49

Número: 6

Páginas: 171-187

Tipo: Artículo

DOI: 10.21711/231766362022/RMC496 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Matemática Contemporânea

Resumen

This paper is a survey about some recent results obtained by the authors on the so-called principal curvature theorem and itsapplications to the study of the curvature of complete oriented hypersurfaces in Euclidean space with constant mean curvature and, moregenerally, with constant higher order mean curvature. The original results can be found in the following joint papers [1], [2], [3] and [4].