Evolution of Contractions between Non-Compact Manifolds
Research output: Working paper › Research
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.
Original language | English |
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Publisher | arXiv preprint |
Publication status | Unpublished - 2018 |
Externally published | Yes |
Series | arXiv |
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- math.DG, 53C44 (Primary) 53C42, 53C21 (Secondary)
Research areas
Links
- https://arxiv.org/pdf/1805.12540.pdf
Final published version
ID: 291609988