Index one minimal surfaces in spherical space forms

Celso Viana

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arXiv · 1803.05882

Index one minimal surfaces in spherical space forms

Celso Viana

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Abstract

We prove that orientable index one minimal surfaces in spherical space forms with large fundamental group have genus at most two. This confirms a conjecture of R. Schoen for an infinite class of 3-manifolds.

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Celso Viana. 2018-03-15. Index one minimal surfaces in spherical space forms. https://arxiv.org/abs/1803.05882

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