An extension of a theorem of Serrin to graphs in warped products

Jaime Ripoll | Dajczer, Marcos

Keywords: onstant mean curvature graph | Warped product

In this article we prove a theorem that extends a well known result of J. Serrin about the existence and uniqueness of graphs of constant mean curvature in Euclidean space to a broad class of Riemannian manifolds. It generalizes several other recent results and includes the new case of Euclidean 'rotational' graphs with constant mean curvature.

Anexos:

• thedayafter.tex