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The Quarterly Journal of Mathematics Advance Access published online on November 18, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han030
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© 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

SURFACES WITH CONSTANT MEAN CURVATURE IN RIEMANNIAN PRODUCTS

Jorge H. S. De Lira{dagger}

Departamento de Matemática, Universidade Federal do Ceará, Bloco 914, Campus do Pici, Fortaleza, Ceará, 60455-760, Brazil

Feliciano A. Vitório {ddagger}

Departamento de Matemática, Universidade Federal de Alagoas, Maceió, Alagoas, 57072-900, Brazil

{dagger} Corresponding author. E-mail: jorge.lira{at}pq.cnpq.br

Received 14 March 2008;
  Abstract

We prove the existence of holomorphic quadratic differentials for surfaces with parallel mean curvature in some four-dimensional products of space forms. These differentials are then used to characterize spheres with parallel mean curvature immersed into these spaces.

{ddagger} E-mail: felicianovitorio{at}gmail.com


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