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arXiv · 0806.1901

Minimal surfaces in circle bundles over Riemann surfaces

Pablo M. Chacon·David L. Johnson
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Abstract

For a compact 3-manifold $M$ which is a circle bundle over a compact Riemann surface $Σ$ 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 $Σ$.

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Pablo M. Chacon, David L. Johnson. 2009-02-13. Minimal surfaces in circle bundles over Riemann surfaces. https://doi.org/10.1112/blms%2Fbdq078

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