The principal curvature theorem and its applications to constant mean curvature hypersurfaces in Euclidean space
- Alías Linares, Luis José 1
- Martínez, García
- Meléndez, Josué
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1
Universidad de Murcia
info
ISSN: 2317-6636
Year of publication: 2022
Volume: 49
Issue: 6
Pages: 171-187
Type: Article
More publications in: Matemática Contemporânea
Abstract
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].