France-Italy meeting in Geometric Analysis

Large conformal metrics with prescribed scalar curvature

speaker: Angela Pistoia (Sapienza Università di Roma)

abstract: Let $(M,g)$ be a $n-$dimensional compact Riemannian manifold. Let $h$ be a smooth function on $M$ which has a local maximum point $\xi$ such that $h(\xi)=0.$ We find conformal metrics $g_\lambda$ whose scalar curvature is the prescribed function $h_{\lambda:=\lambda}^2+h$ where $\lambda$ is a small parameter. The metrics $g_\lambda$ blow-up at the point $\xi$ as $\lambda$ goes to zero. The result is obtained in collaboration with Carlos Roman (UPMC Paris)

timetable:
Wed 22 Feb, 9:00 - 10:00, Aula Dini
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