Inverse curvature flows in hyperbolic space
We consider inverse curvature ows in Hn+1 with star-shaped initial hypersurfaces and prove that the ows exist for all time, and that the leaves converge to infinity, become strongly convex exponentially fast and also more and more totally umbilic. After an appropriate rescaling the leaves converge i...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2011
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| In: |
Journal of differential geometry
Year: 2011, Volume: 89, Issue: 3, Pages: 487-527 |
| ISSN: | 1945-743X |
| DOI: | 10.4310/jdg/1335207376 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.4310/jdg/1335207376 Verlag, kostenfrei, Volltext: https://projecteuclid.org/journals/journal-of-differential-geometry/volume-89/issue-3/Inverse-curvature-flows-in-hyperbolic-space/10.4310/jdg/1335207376.full Verlag, Volltext: http://projecteuclid.org/euclid.jdg/1335207376 
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| Author Notes: | Claus Gerhardt |
| Summary: | We consider inverse curvature ows in Hn+1 with star-shaped initial hypersurfaces and prove that the ows exist for all time, and that the leaves converge to infinity, become strongly convex exponentially fast and also more and more totally umbilic. After an appropriate rescaling the leaves converge in C∞ to a sphere. |
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| Item Description: | Gesehen am 08.11.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1945-743X |
| DOI: | 10.4310/jdg/1335207376 |