Français
$L^2$ curvature for surfaces in Riemannian manifolds
Post-edited
Authors : Kuwert, Ernst (Author of the conference)
CIRM (Publisher )
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C45 - Global surface theory (convex surfaces a la A. D. Aleksandrov)
CIRM (Publisher )
Abstract :
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.
Keywords : curvature of surfaces; Willmore problem
MSC Codes : Keywords : curvature of surfaces; Willmore problem
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C45 - Global surface theory (convex surfaces a la A. D. Aleksandrov)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/06/2019 Conference Date : 27/05/2019 Subseries : Research talks arXiv category : Differential Geometry ; Analysis of PDEs Mathematical Area(s) : Geometry ; PDE Format : MP4 (.mp4) - HD Video Time : 00:56:37 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-05-27_Kuwert.mp4 
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Information on the Event
Event Title : Problèmes variationnels et géométrie des sous-variétés / Variational Problems and the Geometry of SubmanifoldsEvent Organizers : Alias, Luis J. ; Loubeau, Eric ; Mazet, Laurent ; Montaldo, Stefano ; Soret, Marc ; Ville, Marina Dates : 27/05/2019 - 31/05/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1936.html
Citation Data
DOI : 10.24350/CIRM.V.19533003Cite this video as: Kuwert, Ernst (2019). $L^2$ curvature for surfaces in Riemannian manifolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19533003 URI : http://dx.doi.org/10.24350/CIRM.V.19533003 |
See Also
- [Multi angle] Singularities of Teichmüller harmonic map flow / Author of the conference Rupflin, Melanie.
- [Multi angle] Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces / Author of the conference Ohnita, Yoshihiro.
- [Multi angle] Willmore stability and conformal rigidity of minimal surfaces in $\mathbb{S}^{n}$ / Author of the conference Kusner, Rob.
Bibliography
