Mean Curvature Flow in Asymptotically Flat Product Spacetimes

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Standard

Mean Curvature Flow in Asymptotically Flat Product Spacetimes. / Kröncke, Klaus; Lindblad Petersen, Oliver; Lubbe, Felix; Marxen, Tobias; Maurer, Wolfgang; Meiser, Wolfgang; Schnürer, Oliver C.; Szabó, Áron; Vertman, Boris.

I: Journal of Geometric Analysis, Bind 31, Nr. 6, 2021, s. 5451 - 5479.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Kröncke, K, Lindblad Petersen, O, Lubbe, F, Marxen, T, Maurer, W, Meiser, W, Schnürer, OC, Szabó, Á & Vertman, B 2021, 'Mean Curvature Flow in Asymptotically Flat Product Spacetimes', Journal of Geometric Analysis, bind 31, nr. 6, s. 5451 - 5479. https://doi.org/10.1007/s12220-020-00486-z

APA

Kröncke, K., Lindblad Petersen, O., Lubbe, F., Marxen, T., Maurer, W., Meiser, W., Schnürer, O. C., Szabó, Á., & Vertman, B. (2021). Mean Curvature Flow in Asymptotically Flat Product Spacetimes. Journal of Geometric Analysis, 31(6), 5451 - 5479. https://doi.org/10.1007/s12220-020-00486-z

Vancouver

Kröncke K, Lindblad Petersen O, Lubbe F, Marxen T, Maurer W, Meiser W o.a. Mean Curvature Flow in Asymptotically Flat Product Spacetimes. Journal of Geometric Analysis. 2021;31(6):5451 - 5479. https://doi.org/10.1007/s12220-020-00486-z

Author

Kröncke, Klaus ; Lindblad Petersen, Oliver ; Lubbe, Felix ; Marxen, Tobias ; Maurer, Wolfgang ; Meiser, Wolfgang ; Schnürer, Oliver C. ; Szabó, Áron ; Vertman, Boris. / Mean Curvature Flow in Asymptotically Flat Product Spacetimes. I: Journal of Geometric Analysis. 2021 ; Bind 31, Nr. 6. s. 5451 - 5479.

Bibtex

@article{4e86f39f269c4f82979d50fcddd24cfd,
title = "Mean Curvature Flow in Asymptotically Flat Product Spacetimes",
abstract = "We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M× R, where M is asymptotically flat. If the initial hypersurface F⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.",
keywords = "Asymptotically flat manifolds, Mean curvature flow, Static spacetimes",
author = "Klaus Kr{\"o}ncke and {Lindblad Petersen}, Oliver and Felix Lubbe and Tobias Marxen and Wolfgang Maurer and Wolfgang Meiser and Schn{\"u}rer, {Oliver C.} and {\'A}ron Szab{\'o} and Boris Vertman",
year = "2021",
doi = "10.1007/s12220-020-00486-z",
language = "English",
volume = "31",
pages = "5451 -- 5479",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer",
number = "6",

}

RIS

TY - JOUR

T1 - Mean Curvature Flow in Asymptotically Flat Product Spacetimes

AU - Kröncke, Klaus

AU - Lindblad Petersen, Oliver

AU - Lubbe, Felix

AU - Marxen, Tobias

AU - Maurer, Wolfgang

AU - Meiser, Wolfgang

AU - Schnürer, Oliver C.

AU - Szabó, Áron

AU - Vertman, Boris

PY - 2021

Y1 - 2021

N2 - We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M× R, where M is asymptotically flat. If the initial hypersurface F⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.

AB - We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M× R, where M is asymptotically flat. If the initial hypersurface F⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.

KW - Asymptotically flat manifolds

KW - Mean curvature flow

KW - Static spacetimes

UR - http://www.scopus.com/inward/record.url?scp=85088984288&partnerID=8YFLogxK

U2 - 10.1007/s12220-020-00486-z

DO - 10.1007/s12220-020-00486-z

M3 - Journal article

AN - SCOPUS:85088984288

VL - 31

SP - 5451

EP - 5479

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

SN - 1050-6926

IS - 6

ER -

ID: 249305750