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Geometria Diferencial

Minimal planes in asymptotically flat 3-manifolds.
Harold Rosenberg

Terça-feira, 11 de setembro de 2018, 15:30
Sala 236.

Laurent Mazet and I have  improved a result by Chodosh and Ketover. We prove that, in an asymptotically flat 3-manifold M that contains no closed minimal surfaces, fixing q∈M and a 2-plane V in TqM there is a properly embedded minimal plane Σ in M such that q∈Σ and TqΣ=V. We also prove that fixing three points in M there is a properly embedded minimal plane passing through these three points.    I will discuss the idea of the proof and some related questions.