[CvGmt News] [CvGmt seminar] announcement

[magnani at dm.unipi.it]

The Willmore and other $L^2$ curvature functionals in Riemannian  manifolds 
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http://cvgmt.sns.it/seminar/281/

Date: Wednesday, Nov 23, 2011

Time: 17:00

Place: Sala Seminari, Department of Mathematics, Pisa University

Speaker: Andrea Mondino



Abstract. Given an immersion of a surface into the euclidean 3 space, the Willmore functional is defined as the $L^2$ norm of the mean curvature. If we consider immersions in a Riemannian manifold there are many possible generalizations of the Willmore functional; in the seminar we will speak about these generalizations and study the existence of minimizers and critical points of the corresponding functionals under curvature conditions on the ambient manifold. The topic has links with general relativity, string theory, biology, nonlinear elasticity theory etc.