# The Willmore and other $L^2$ curvature functionals in Riemannian manifolds

## Andrea Mondino (Warwick University)

created by magnani on 10 Nov 2011
modified by paolini on 11 Nov 2011

23 nov 2011 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

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.

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