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arxiv: 1803.05882 · v2 · pith:CT2A64WEnew · submitted 2018-03-15 · 🧮 math.DG

Index one minimal surfaces in spherical space forms

classification 🧮 math.DG
keywords formsindexminimalspacesphericalsurfacesclassconfirms
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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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