Oberseminar Differentialgeometrie; Jan Metzger; Surfaces of Willmore type in Riemannian manifolds
Monday, 23.11.2009 16:15 im Raum SR 4
Surfaces of Willmore type in Riemannian manifolds
Abstract: In this talk I present recent results on surfaces of
Willmore type in three dimensional Riemannian manifolds. These are
surfaces that are critical for the Willmore energy subject to an area
constraint. I present an analysis of spherical surfaces of Willmore
type with positive mean curvature in geodesic balls of small
radius. As a result we obtain that such surfaces are well approximated
by geodesic spheres. This enables us to derive necessary conditions
for the existence of such surfaces related to the scalar curvature of
the ambient manifold.
Angelegt am Tuesday, 06.10.2009 11:11 von N. N
Geändert am Monday, 23.11.2009 12:56 von N. N
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