A Spinorial Approach to Riemannian and Conformal Geometry by Jean-Pierre Bourguignon, Oussama Hijazi, Jean-Louis Milhorat, Andrei Moroianu and Sergiu Moroianu

Autor: Krýsl, Svatopluk

Publikováno v: J. Geom. Symmetry Phys. 42 (2016), 99-103

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=project_eucl::53cbc8019f2e68f1f3b2b520237bc75c
http://projecteuclid.org/euclid.jgsp/1496196026

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}(

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8761ee3664dce1e0204a8e8312d303d

Branson's Q-curvature in Riemannian and Spin Geometry

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

An Introduction to Clifford Algebras and Spinors. By Jayme Vaz Jr and Roldão da Rocha Jr. Oxford University Press, 2016. Pp. 256. Price GBP 55.00 (hardback). ISBN 9780198782926

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

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