Remarks on complete Weingarten hypersurfaces in the Euclidean space
Eudes de Lima
Universidade Federal de Campina Grande, Cajazeiras, Paraíba, Brazil

Abstract
In this paper, first we provide a classification result for a large class of complete rotational Weingarten hypersurfaces in the Euclidean space. Second, we prove sharp inequalities for the norm of the second fundamental form of a class of Weingarten hypersurfaces. We show that sharpness is attained by a cylinder of the Euclidean space.
Cite this article
Eudes de Lima, Remarks on complete Weingarten hypersurfaces in the Euclidean space. Port. Math. 82 (2025), no. 1/2, pp. 139–153
DOI 10.4171/PM/2130