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Stability of a quas...
Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
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- Alaee, Aghil (författare)
- Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts; Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts,Clark Univ, Dept Math & Comp Sci, Worcester, MA 01610 USA.;Harvard Univ, Ctr Math Sci & Applicat, Cambridge, MA 02138 USA.
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- Cabrera Pacheco, Armando (författare)
- Department of Mathematics, Universität Tübingen, 72076 Tübingen, Germany,Univ Tubingen, Dept Math, D-72076 Tubingen, Germany.
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- McCormick, Stephen (författare)
- Uppsala universitet,Tillämpad matematik och statistik
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Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts; Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts Clark Univ, Dept Math & Comp Sci, Worcester, MA 01610 USA;Harvard Univ, Ctr Math Sci & Applicat, Cambridge, MA 02138 USA. (creator_code:org_t)
- 2021-02-23
- 2021
- Engelska.
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Ingår i: Transactions of the American Mathematical Society. - : American Mathematical Society (AMS). - 0002-9947 .- 1088-6850. ; 374:5, s. 3535-3555
- Relaterad länk:
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https://www.ams.org/...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We present a quasi-local version of the stability of the positive mass theorem. We work with the Brown–York quasi-local mass as it possesses positivity and rigidity properties, and therefore the stability of this rigidity statement can be studied. Specifically, we ask if the Brown–York mass of the boundary of some compact manifold is close to zero, must the manifold be close to a Euclidean domain in some sense?Here we consider a class of compact -manifolds with boundary that can be realized as graphs in , and establish the following. If the Brown–York mass of the boundary of such a compact manifold is small, then the manifold is close to a Euclidean hyperplane with respect to the Federer–Fleming flat distance.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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- art (ämneskategori)
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