70 citations · 514 across the 53 of their papers we have counts for
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On the topology and index of minimal surfaces II
Otis Chodosh, Davi Maximo
For an immersed minimal surface in , we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. T…
A splitting theorem for scalar curvature
Otis Chodosh, Michael Eichmair, Vlad Moraru
We show that a Riemannian -manifold with non-negative scalar curvature is flat if it contains an area-minimizing cylinder. This scalar-curvature analogue of the classical splitt…
Characterization of large isoperimetric regions in asymptotically hyperbolic initial data
Otis Chodosh, Michael Eichmair, Yuguang Shi +1
Let be a complete Riemannian -manifold asymptotic to Schwarzschild-anti-deSitter and with scalar curvature . Building on work of A.~Neves and G.~Tian and of…
Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
Otis Chodosh, Christos Mantoulidis
The Allen-Cahn equation is a semilinear PDE which is deeply linked to the theory of minimal hypersurfaces via a singular limit. We prove curvature estimates and strong sheet separa…
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
Costante Bellettini, Otis Chodosh, Neshan Wickramasekera
Weakly stable constant mean curvature (CMC) hypersurfaces are stable critical points of the area functional with respect to volume preserving deformations. We establish a pointwise…