JournalsaihpcVol. 26, No. 3pp. 763–775

Killing graphs with prescribed mean curvature and Riemannian submersions

  • M. Dajczer

    IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil

  • J.H. de Lira

    Departamento de Matematica, UFC, Bloco 914, Campus do Pici, 60455-760, Fortaleza, Ceara, Brazil
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Abstract

It is proved the existence and uniqueness of graphs with prescribed mean curvature in Riemannian submersions fibered by flow lines of a vertical Killing vector field.

Résumé

On démontre l'existence et unicité de graphes avec courbure moyenne prescrite dans les submersions fibrées par les solutions d'un champ de vecteurs de Killing vertical.

Cite this article

M. Dajczer, J.H. de Lira, Killing graphs with prescribed mean curvature and Riemannian submersions. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 3, pp. 763–775

DOI 10.1016/J.ANIHPC.2008.02.002