Non-scale-invariant inverse curvature flows in hyperbolic space
We consider inverse curvature flows in hyperbolic space $$\mathbb {H}^{n+1}$$Hn+1with starshaped initial hypersurface, driven by positive powers of a homogeneous curvature function. The solutions exist for all time and, after rescaling, converge to a geodesic sphere.
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2015
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| In: |
Calculus of variations and partial differential equations
Year: 2015, Volume: 53, Issue: 1, Pages: 91-123 |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-014-0742-9 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00526-014-0742-9
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| Author Notes: | Julian Scheuer |
| Summary: | We consider inverse curvature flows in hyperbolic space $$\mathbb {H}^{n+1}$$Hn+1with starshaped initial hypersurface, driven by positive powers of a homogeneous curvature function. The solutions exist for all time and, after rescaling, converge to a geodesic sphere. |
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| Item Description: | Published online: 8 June 2014 Gesehen am 18.06.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-014-0742-9 |