Evolution of Contractions between Non-Compact Manifolds
Publikation: Working paper › Forskning
Let N be a complete manifold with bounded geometry, such that secN≤−σ<0 for some positive constant σ. We investigate the mean curvature flow of the graphs of smooth length-decreasing maps f:Rm→N. In this case, the solution exists for all times and the evolving submanifold stays the graph of a length-decreasing map ft. We further prove uniform decay estimates for all derivatives of order ≥2 of ft along the flow.
Originalsprog | Engelsk |
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Udgiver | arXiv preprint |
Status | Ikke-udgivet - 2018 |
Eksternt udgivet | Ja |
Navn | arXiv |
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Links
- https://arxiv.org/pdf/1805.12540.pdf
Forlagets udgivne version
ID: 291609988