An inverse Gauss curvature flow for hypersurfaces expanding in a cone

Sani, Marcello

An inverse Gauss curvature flow for hypersurfaces expanding in a cone

Dateien

Sani_0-410986.pdfGröße: 498.39 KBDownloads: 272

Datum

2017

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Inverse Gauß curvature flow, cone, Neumann boundary value problem, Monge-Ampère type equations

Zitieren

ISO 690

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

BibTex

@unpublished{Sani2017inver-39370,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

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