Zobrazeno 1 - 10 of 52 pro vyhledávání: '"Sebastián Montiel"'
2
The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity
Autor: Sebastián Montiel, Oussama Hijazi, Simon Raulot
Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2020, 374, pp.873-890. ⟨10.1007/s00220-019-03545-x⟩
Let (M, g) be an $$(n+1)$$-dimensional asymptotically locally hyperbolic manifold with a conformal compactification whose conformal infinity is $$(\partial M,[\gamma ])$$. We will first observe that $${\mathcal Ch}(M,g)\le n$$, where $${\mathcal Ch}(
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4
Sur une inégalité de Brendle dans l’espace hyperbolique
Autor: Sebastián Montiel, Simon Raulot, Oussama Hijazi
Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2018, 356 (3), pp.322-326. ⟨10.1016/j.crma.2018.01.015⟩
International audience; We give a spinorial proof of a Heintze-Karcher type inequality in the hyperbolic space proved by Brendle [Br]. The proof relies on a generalized Reilly formula on spinors recently obtained in [HMR].; Sur une inégalité de Bre
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59769e7caf7c29e5dd4316f2342cac59
https://hal.archives-ouvertes.fr/hal-02281376/document
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5
Dirac Operators on Time Flat Submanifolds with Applications
Autor: Sebastián Montiel, Oussama Hijazi, Simon Raulot
Publikováno v: Commun.Math.Phys.
Commun.Math.Phys., 2017, 351 (3), pp.1177-1194. ⟨10.1007/s00220-017-2837-6⟩
International audience; In this paper, we study Dirac-type operators on time flat submanifolds in spacetimes satisfying the Einstein equations with non positive cosmological constant. We apply our results to obtain global rigidity results for n-dimen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aa2856093ba99b2e67a26a07d8ae8db
https://hal.archives-ouvertes.fr/hal-01554635
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6
A holographic principle for the existence of imaginary Killing spinors
Autor: Sebastián Montiel, Oussama Hijazi, Simon Raulot
Publikováno v: Journal of Geometry and Physics
Journal of Geometry and Physics, Elsevier, 2015, 91, pp.12-28. ⟨10.1016/j.geomphys.2015.01.012⟩
Suppose that $\Sigma=\partial\Omega$ is the $n$-dimensional boundary, with positive (inward) mean curvature $H$, of a connected compact $(n+1)$-dimensional Riemannian spin manifold $(\Omega^{n+1},g)$ whose scalar curvature $R\ge -n(n+1)k^2$, for some
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b208f52946848660579cd5e8c8f6be7
https://hal.archives-ouvertes.fr/hal-01116656
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7
Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
Autor: Sebastián Montiel, Oussama Hijazi, Simon Raulot
Publikováno v: Annals of Global Analysis and Geometry
Annals of Global Analysis and Geometry, Springer Verlag, 2015, 47 (2), pp.167-178. ⟨10.1007/s10455-014-9441-1⟩
We prove that, among all (n + 1)-dimensional spin static vacua with positive cosmological constant, the de Sitter spacetime is characterized by the fact that its spatial Killing hori-zons have minimal modes for the Dirac operator. As a consequence, t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a607c94943f940ba7abc13be25df101f
https://hal.archives-ouvertes.fr/hal-01116653/document
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8
On a Liu--Yau type inequality for surfaces
Autor: Oussama Hijazi, Sebastián Montiel, Simon Raulot
Publikováno v: Pacific Journal of Mathematics
Pacific Journal of Mathematics, 2014, 272 (1), pp.177-199. ⟨10.2140/pjm.2014.272.177⟩
International audience; Let $\Omega$ be a compact and mean-convex domain with smooth boundary $\Sigma:=\partial\Omega$, in an initial data set $(M^3,g,K)$, which has no apparent horizon in its interior. If $\Sigma$ is spacelike in a spacetime $(\E^4,
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9
Extrinsic Killing spinors
Autor: Sebastián Montiel, Oussama Hijazi
Publikováno v: Mathematische Zeitschrift. 244:337-347
Under intrinsic and extrinsic curvature assumptions on a Riemannian spin manifold and its boundary, we show that there is an isomorphism between the restriction to the boundary of parallel spinors and extrinsic Killing spinors of non-negative Killing
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fc7b1dec1c17d7141741e7d2264c3ead
https://doi.org/10.1007/s00209-003-0503-5
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10
[Untitled]
Autor: Antonio Roldán, Oussama Hijazi, Sebastián Montiel
Publikováno v: Annals of Global Analysis and Geometry. 23:247-264
We give a sharp extrinsic lower bound for the first eigenvaluesof the intrinsic Dirac operator of certain hypersurfaces boundinga compact domain in a spin manifold of negative scalar curvature.Limiting-cases are characterized by the existence, on the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a629e72d68c2bd367a9bbb90d1e8ef1
https://doi.org/10.1023/a:1022808916165
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