Minimal surfaces in circle bundles over Riemann surfaces

Details Minimal surfaces in circle bundles over Riemann surfaces Minimal surfaces in circle bundles over Riemann surfaces

2008-06-11

arxiv.org/abs/0806.1901v2

Mathematics

Differential Geometry

8 pages, no figures. Revised version

Scientific paper

For a compact 3-manifold $M$ which is a circle bundle over a compact Riemann
surface $\Sigma$ with even Euler number $e(M)$, and with a Riemannian metric
compatible with the bundle projection, there exists a compact minimal surface
$S$ in $M$. $S$ is embedded and is a section of the restriction of the bundle
to the complement of a finite number of points in $\Sigma$.

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