An inverse Gauss curvature flow for hypersurfaces expanding in a cone
| Type of Publication: | Working Paper/Technical Report |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-410986 |
| Author: | Sani, Marcello |
| Year of publication: | 2017 |
| Summary: |
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 Classification: | 53C44 |
| Subject (DDC): | 510 Mathematics |
| Keywords: | Inverse Gauß curvature flow, cone, Neumann boundary value problem, Monge-Ampère type equations |
| Link to License: | Terms of use |
| Bibliography of Konstanz: | Yes |
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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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