Publikation:

Mean curvature flow in asymptotically flat product spacetimes

Lade...
Vorschaubild

Dateien

Kroencke_2-1ksioqejbun1a8.pdf
Kroencke_2-1ksioqejbun1a8.pdfGröße: 455.72 KBDownloads: 70

Datum

2021

Autor:innen

Kröncke, Klaus
Lindblad Petersen, Oliver
Lubbe, Felix
Marxen, Tobias
Meiser, Wolfgang
Szabó, Áron
Vertman, Boris

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Hybrid
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

The Journal of Geometric Analysis. Springer. 2021, 31, pp. 5451-5479. ISSN 1050-6926. eISSN 1559-002X. Available under: doi: 10.1007/s12220-020-00486-z

Zusammenfassung

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 F0⊂M×R is uniformly spacelike and asymptotic to M×{s} for some s∈R at infinity, we show that the mean curvature flow starting at F0 exists for all times and converges uniformly to M×{s} as t→∞.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
530 Physik

Schlagwörter

mean curvature flow, asymptotically flat manifolds, static spacetimes

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690KRÖNCKE, Klaus, Oliver LINDBLAD PETERSEN, Felix LUBBE, Tobias MARXEN, Wolfgang MAURER, Wolfgang MEISER, Oliver C. SCHNÜRER, Áron SZABÓ, Boris VERTMAN, 2021. Mean curvature flow in asymptotically flat product spacetimes. In: The Journal of Geometric Analysis. Springer. 2021, 31, pp. 5451-5479. ISSN 1050-6926. eISSN 1559-002X. Available under: doi: 10.1007/s12220-020-00486-z
BibTex
@article{Kroncke2021curva-47071,
  year={2021},
  doi={10.1007/s12220-020-00486-z},
  title={Mean curvature flow in asymptotically flat product spacetimes},
  volume={31},
  issn={1050-6926},
  journal={The Journal of Geometric Analysis},
  pages={5451--5479},
  author={Kröncke, Klaus and Lindblad Petersen, Oliver and Lubbe, Felix and Marxen, Tobias and Maurer, Wolfgang and Meiser, Wolfgang and Schnürer, Oliver C. and Szabó, Áron and Vertman, Boris}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/47071">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-09-27T12:56:27Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/47071/1/Kroencke_2-1ksioqejbun1a8.pdf"/>
    <dc:contributor>Kröncke, Klaus</dc:contributor>
    <dc:creator>Meiser, Wolfgang</dc:creator>
    <dcterms:title>Mean curvature flow in asymptotically flat product spacetimes</dcterms:title>
    <dc:creator>Maurer, Wolfgang</dc:creator>
    <dc:contributor>Marxen, Tobias</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:issued>2021</dcterms:issued>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Schnürer, Oliver C.</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-09-27T12:56:27Z</dc:date>
    <dc:contributor>Lubbe, Felix</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Szabó, Áron</dc:creator>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Marxen, Tobias</dc:creator>
    <dc:contributor>Maurer, Wolfgang</dc:contributor>
    <dc:contributor>Szabó, Áron</dc:contributor>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/47071/1/Kroencke_2-1ksioqejbun1a8.pdf"/>
    <dc:contributor>Schnürer, Oliver C.</dc:contributor>
    <dc:contributor>Lindblad Petersen, Oliver</dc:contributor>
    <dc:creator>Lindblad Petersen, Oliver</dc:creator>
    <dc:contributor>Meiser, Wolfgang</dc:contributor>
    <dc:creator>Vertman, Boris</dc:creator>
    <dc:creator>Lubbe, Felix</dc:creator>
    <dc:language>eng</dc:language>
    <dc:contributor>Vertman, Boris</dc:contributor>
    <dc:creator>Kröncke, Klaus</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/47071"/>
    <dcterms:abstract xml:lang="eng">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&lt;sub&gt;0&lt;/sub&gt;⊂M×R is uniformly spacelike and asymptotic to M×{s} for some s∈R at infinity, we show that the mean curvature flow starting at F&lt;sub&gt;0&lt;/sub&gt; exists for all times and converges uniformly to M×{s} as t→∞.</dcterms:abstract>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Unbekannt
Diese Publikation teilen