dc.identifier.uri |
http://dx.doi.org/10.15488/15332 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/15452 |
|
dc.contributor.author |
Gentile, Giuseppe
|
|
dc.contributor.author |
Vertman, Boris
|
|
dc.date.accessioned |
2023-11-16T08:09:24Z |
|
dc.date.available |
2023-11-16T08:09:24Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Gentile, G.; Vertman, B.: Prescribed mean curvature flow of non-compact space-like Cauchy hypersurfaces. In: Annals of Global Analysis and Geometry 64 (2023), Nr. 2, 11. DOI: https://doi.org/10.1007/s10455-023-09914-z |
|
dc.description.abstract |
In this paper we consider the prescribed mean curvature flow of a non-compact space-like Cauchy hypersurface of bounded geometry in a generalized Robertson–Walker space-time. We prove that the flow preserves the space-likeness condition and exists for infinite time. We also prove convergence in the setting of manifolds with boundary. Our discussion generalizes previous work by Ecker, Huisken, Gerhardt and others with respect to a crucial aspects: we consider any non-compact Cauchy hypersurface under the assumption of bounded geometry. Moreover, we specialize the aforementioned works by considering globally hyperbolic Lorentzian space-times equipped with a specific class of warped product metrics. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Dordrecht [u.a.] : Springer Science + Business Media B.V |
|
dc.relation.ispartofseries |
Annals of Global Analysis and Geometry 64 (2023), Nr. 2 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
|
dc.subject |
Generalized Robertson–Walker space-times |
eng |
dc.subject |
Mean curvature flow |
eng |
dc.subject |
Non-compactness |
eng |
dc.subject |
Prescribed mean curvature |
eng |
dc.subject.ddc |
510 | Mathematik
|
|
dc.title |
Prescribed mean curvature flow of non-compact space-like Cauchy hypersurfaces |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1572-9060 |
|
dc.relation.issn |
0232-704X |
|
dc.relation.doi |
https://doi.org/10.1007/s10455-023-09914-z |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
64 |
|
dc.bibliographicCitation.firstPage |
11 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|