$L^2$ curvature for surfaces in Riemannian manifolds | Vidéo | Carmin.tv

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$L^2$ curvature for surfaces in Riemannian manifolds

By Ernst Kuwert

Appears in collection : Problèmes variationnels et géométrie des sous-variétés / Variational Problems and the Geometry of Submanifolds

For surfaces immersed into a compact Riemannian manifold, we consider the curvature functional given by the $L^{2}$ integral of the second fundamental form. We discuss an area bound in terms of the energy, with application to the existence of minimizers. This is joint work with V. Bangert.

Information about the video

Date of recording 27/05/2019
Date of publication 18/06/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19533003
Cite this video Kuwert, Ernst (27/05/2019). $L^2$ curvature for surfaces in Riemannian manifolds. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19533003
URL https://dx.doi.org/10.24350/CIRM.V.19533003

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