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math.DG2017
Compactness analysis for free boundary minimal hypersurfaces
Lucas Ambrozio, Alessandro Carlotto, Ben Sharp
We investigate compactness phenomena involving free boundary minimal hypersurfaces in Riemannian manifolds of dimension less than eight. We provide natural geometric conditions tha…
math.DG2017★ 1 cited
A note on the index of closed minimal hypersurfaces of flat tori
Lucas Ambrozio, Alessandro Carlotto, Ben Sharp
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 thei…