Evolution of Contractions between Non-Compact Manifolds

Research output: Working paper › Research

Standard

Evolution of Contractions between Non-Compact Manifolds. / Lubbe, Felix.

arXiv preprint, 2018.

Research output: Working paper › Research

Harvard

Lubbe, F 2018 'Evolution of Contractions between Non-Compact Manifolds' arXiv preprint. <https://arxiv.org/pdf/1805.12540.pdf>

APA

Lubbe, F. (2018). Evolution of Contractions between Non-Compact Manifolds. arXiv preprint. arXiv https://arxiv.org/pdf/1805.12540.pdf

Vancouver

Lubbe F. Evolution of Contractions between Non-Compact Manifolds. arXiv preprint. 2018.

Author

Lubbe, Felix. / Evolution of Contractions between Non-Compact Manifolds. arXiv preprint, 2018. (arXiv).

Bibtex

@techreport{6611aea84e20420fa4431437c5be60d3,
title = "Evolution of Contractions between Non-Compact Manifolds",
abstract = "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.",
keywords = "math.DG, 53C44 (Primary) 53C42, 53C21 (Secondary)",
author = "Felix Lubbe",
year = "2018",
language = "English",
series = "arXiv",
publisher = "arXiv preprint",
type = "WorkingPaper",
institution = "arXiv preprint",

}

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