Remarks on complete Weingarten hypersurfaces in the Euclidean space

  • Eudes de Lima

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