Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Oussama Hijazi"'
Autor:
Oussama Hijazi, Simon Raulot
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 119 (2007)
On a closed 4-dimensional Riemannian manifold, we give a lower bound for the square of the first eigenvalue of the Yamabe operator in terms of the total Branson's $Q$-curvature. As a consequence, if the manifold is spin, we relate the first eigenvalu
Externí odkaz:
https://doaj.org/article/a1e91d275c134a968a225c0d1c04bf29
Publikováno v:
Perspectives in Scalar Curvature ISBN: 9789811249990
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54dc139471b80c860af98982f5b9b35d
https://doi.org/10.1142/9789811273230_0014
https://doi.org/10.1142/9789811273230_0014
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2020, 374, pp.873-890. ⟨10.1007/s00220-019-03545-x⟩
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}(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8761ee3664dce1e0204a8e8312d303d
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⟩
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
https://hal.archives-ouvertes.fr/hal-02281376/document
Publikováno v:
Commun.Math.Phys.
Commun.Math.Phys., 2017, 351 (3), pp.1177-1194. ⟨10.1007/s00220-017-2837-6⟩
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
https://hal.archives-ouvertes.fr/hal-01554635
Autor:
Oussama Hijazi
Publikováno v:
Acta Crystallographica Section A Foundations and Advances. 74:73-73
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5745090019196d88711a968fb1e8a8ba
https://doi.org/10.1107/s2053273317016138
https://doi.org/10.1107/s2053273317016138
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⟩
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
https://hal.archives-ouvertes.fr/hal-01116656
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⟩
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
https://hal.archives-ouvertes.fr/hal-01116653/document
Publikováno v:
Pacific Journal of Mathematics
Pacific Journal of Mathematics, 2014, 272 (1), pp.177-199. ⟨10.2140/pjm.2014.272.177⟩
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,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48d2ffc0a01701c70a8bfd672a7ad1fb
Publikováno v:
Mathematische Zeitschrift. 253:821-853
From the existence of parallel spinor fields on Calabi-Yau, hyper-Kahler or complex flat manifolds, we deduce the existence of harmonic differential forms of different degrees on their minimal Lagrangian submanifolds. In particular, when the submanif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2b68b6b8f524892e509e390c2a67f76
https://doi.org/10.1007/s00209-006-0936-8
https://doi.org/10.1007/s00209-006-0936-8