An inverse Gauss curvature flow for hypersurfaces expanding in a cone

Publikationstyp: Working Paper/Technical Report
Publikationsstatus: Published
URI (zitierfähiger Link): http://nbn-resolving.de/urn:nbn:de:bsz:352-0-410986
Autor/innen: Sani, Marcello
Erscheinungsjahr: 2017
Zusammenfassung:
We consider hypersurfaces which are graphs over a sphere evolving in a cone, driven by the (-1/n)-th power of the Gauß curvature and subject to a Neumann boundary condition. We show existence for all times and convergence after rescaling, to a subset of a sphere.
MSC-Klassifikation: 53C44
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Inverse Gauß curvature flow, cone, Neumann boundary value problem, Monge-Ampère type equations
Link zur Lizenz: Nutzungsbedingungen
Universitätsbibliographie: Ja

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SANI, Marcello, 2017. An inverse Gauss curvature flow for hypersurfaces expanding in a cone

@techreport{Sani2017inver-39370, title={An inverse Gauss curvature flow for hypersurfaces expanding in a cone}, year={2017}, author={Sani, Marcello} }

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