A note on the index of closed minimal hypersurfaces of flat tori
classification
🧮 math.DG
keywords
closedflathypersurfacesindexminimalaffineambientbetti
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Generalizing earlier work by Ros in ambient dimension three, we prove an affine lower bound for the Morse index of closed minimal hypersurfaces inside a flat torus in terms of their first Betti number (with purely dimensional coefficients).
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