Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4

Peñafiel, Carlos

doi:10.1090/S0002-9939-2011-11075-X

Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4
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by Carlos Peñafiel PDF

Proc. Amer. Math. Soc. 140 (2012), 2465-2478 Request permission

Abstract:

We study the existence of multi-graphs which are immersed in $E^3(\kappa ,\tau )$, having constant mean curvature $H$, where $E^3(\kappa ,\tau )$ is a homogeneous, simply connected 3-manifold whose isometry group has dimension 4.

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