On the set of conformal scalar-flat metrics on manifolds with boundary – Sergio Almaraz (UFF – Universidade Federal Fluminense, Brazil)


Sala Seminari (Dip. Matematica).


Let (M, g) be a compact Riemannian manifold with boundary. In this talk I will be interested in the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. I will mainly focus on some compactness and noncompactness theorems concerning this set.

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