Evolution of Contractions between Non-Compact Manifolds
Publikation: Working paper › Forskning
Standard
Evolution of Contractions between Non-Compact Manifolds. / Lubbe, Felix.
arXiv preprint, 2018.Publikation: Working paper › Forskning
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - UNPB
T1 - Evolution of Contractions between Non-Compact Manifolds
AU - Lubbe, Felix
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - math.DG
KW - 53C44 (Primary) 53C42, 53C21 (Secondary)
M3 - Working paper
T3 - arXiv
BT - Evolution of Contractions between Non-Compact Manifolds
PB - arXiv preprint
ER -
ID: 291609988