Academic Journal
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds.
| Τίτλος: | Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds. |
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| Συγγραφείς: | Cabrera Pacheco, Armando J., Graf, Melanie, Perales, Raquel |
| Πηγή: | General Relativity & Gravitation; Nov2023, Vol. 55 Issue 11, p1-45, 45p |
| Θεματικοί όροι: | Hyperbolic spaces, Riemannian manifolds, Geometric rigidity |
| Περίληψη: | The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is isometric to the hyperbolic space. This leads to study the stability of this statement, that is, if the total mass of an asymptotically hyperbolic manifold is almost zero, is this manifold close to the hyperbolic space in any way? Motivated by the work of Huang, Lee and Sormani for asymptotically flat graphical manifolds with respect to intrinsic flat distance, we show the intrinsic flat stability of the positive mass theorem for a class of asymptotically hyperbolic graphical manifolds by adapting the positive answer to this question provided by Huang, Lee and the third named author. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: | Complementary Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s10714-023-03176-7 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Items | – Name: Title Label: Title Group: Ti Data: Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Cabrera+Pacheco%2C+Armando+J%2E%22">Cabrera Pacheco, Armando J.</searchLink><br /><searchLink fieldCode="AR" term="%22Graf%2C+Melanie%22">Graf, Melanie</searchLink><br /><searchLink fieldCode="AR" term="%22Perales%2C+Raquel%22">Perales, Raquel</searchLink> – Name: TitleSource Label: Source Group: Src Data: General Relativity & Gravitation; Nov2023, Vol. 55 Issue 11, p1-45, 45p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Hyperbolic+spaces%22">Hyperbolic spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Riemannian+manifolds%22">Riemannian manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+rigidity%22">Geometric rigidity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is isometric to the hyperbolic space. This leads to study the stability of this statement, that is, if the total mass of an asymptotically hyperbolic manifold is almost zero, is this manifold close to the hyperbolic space in any way? Motivated by the work of Huang, Lee and Sormani for asymptotically flat graphical manifolds with respect to intrinsic flat distance, we show the intrinsic flat stability of the positive mass theorem for a class of asymptotically hyperbolic graphical manifolds by adapting the positive answer to this question provided by Huang, Lee and the third named author. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of General Relativity & Gravitation is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10714-023-03176-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 45 StartPage: 1 Subjects: – SubjectFull: Hyperbolic spaces Type: general – SubjectFull: Riemannian manifolds Type: general – SubjectFull: Geometric rigidity Type: general Titles: – TitleFull: Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Cabrera Pacheco, Armando J. – PersonEntity: Name: NameFull: Graf, Melanie – PersonEntity: Name: NameFull: Perales, Raquel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 00017701 Numbering: – Type: volume Value: 55 – Type: issue Value: 11 Titles: – TitleFull: General Relativity & Gravitation Type: main |
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