Complete rotation hypersurfaces with Hk constant in space forms

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Abstract

In this paper we classify all complete rotation hypersurfaces withH k constant in ℝ n+1 andH n+1, is the normalizedk-th symmetric function of the principal curvatures. Partial results are also given forH n+1.

Partially supported by DGAPA-UNAM, México, CONACYT, México, under Project 1068P, and CNPp, Brazil.