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Hanne Van Den Bosch (Universidad de Chile)
Friday 06 February 2026, 09:45-10:30
Quantitative stability for minimizers of a Yamabe problem on manifolds with boundaries
- đ¤ Speaker: Hanne Van Den Bosch (Universidad de Chile)
- đ Date & Time: Friday 06 February 2026, 09:45 - 10:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
The classical Yamabe problem seeks for a metric conformal to a given metric with constant scalar curvature. By rewriting the conformal factor in a suitable way, it is equivalent to minimizing the L² norm of the gradient under a constraint on the L2* – norm. This talk concerns an analogous variational problem for manifolds with boundary introduced by Escobar, which seeks for metrics with zero scalar curvature in the interior and constant mean curvature on the boundary. The variational formulation for functions is very similar, but the constraint is now on the boundary values of the function. I will introduce the problem and show how a compactness argument of Engelstein-Neumayer-Spolaor can be adapted to give the quantitative stability for minimizers of this problem. This talk is based on joint work with Benjamín Borquez and Rayssa Caju.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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