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math.DG2018★ 2 cited
A note on minimal surfaces with bounded index
Davi Maximo
For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly…
math.DG2018
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…
math.DG2015
Almost-rigidity and the extinction time of positively curved Ricci flows
Richard H. Bamler, Davi Maximo
We prove that Ricci flows with almost maximal extinction time must be nearly round, provided that they have positive isotropic curvature when crossed with . As an a…