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Event

Min Chen (Ï㽶ÊÓƵ)

Wednesday, March 22, 2023 15:00to16:00
Burnside Hall Room 1234, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

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Title: Foliations by stable spheres with constant Gauss curvature in an asymptotically flat Riemannian manifold.

Abstract: We will discuss using a heat flow method to deform a coordinate sphere into a constant Gauss curvature surface. With the positivity of the mass, we then prove that the constructed surfaces form a stable constant Gauss curvature foliation. It defines a natural coordinate system near infinity. Finally, we will briefly introduce a method to obtain the uniqueness of the constant mean curvature foliation for ends with positive mass.

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