Stable Minimal Surfaces and the Topology of 3-Manifolds

Stable Minimal Surfaces and the Topology of 3-Manifolds

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Vanderson Lima,Universidade Federal do Rio Grande do Sul
Fine Hall 314

Meeks, Pérez and Ros conjectured that a closed riemannian 3-manifold which does not contain any 2-sided closed embedded stable minimal surface must be diffeomorphic to a quotient of the 3-sphere. In this talk, we show that there is a counterexample to this conjecture and discuss how to modify it in order to become true.