New eigenvalue estimates involving Bessel functions

Autor: Georges Habib, Nicolas Ginoux, Fida El Chami

Publikováno v: Publicacions Matemàtiques
Publicacions Matemàtiques, In press
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
HAL

Given a compact Riemannian manifold (M n , g) with boundary $\partial$M , we give an estimate for the quotient $\partial$M f d$\mu$ g M f d$\mu$ g , where f is a smooth positive function defined on M that satisfies some inequality involving the scala

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95535a463928fe3cc82fa503eb302cd0
https://hal.archives-ouvertes.fr/hal-02264339v2/document

Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary, part II

Autor: Georges Habib, Roger Nakad, Fida El Chami, Ola Makhoul

Publikováno v: Mediterranean Journal of Mathematics
Mediterranean Journal of Mathematics, Springer Verlag, 2018

On a compact Riemannian manifold N whose boundary is endowed with a Riemannian flow, we gave in El Chami et al. (Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary, 2015) a sharp lower bound for the first non-zero eigenva

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5f692b39bddd7114fe69312d8e1fb49
http://arxiv.org/abs/1604.02304

Rigidity results for spin manifolds with foliated boundary

Autor: Georges Habib, Roger Nakad, Nicolas Ginoux, Fida El Chami

Publikováno v: Journal of Geometry
Journal of Geometry, Springer Verlag, 2016, 107 (3), pp.533-555. ⟨10.1007/s00022-015-0286-y⟩

In this paper, we consider a compact Riemannian manifold whose boundary is endowed with a Riemannian flow. Under a suitable curvature assumption depending on the O'Neill tensor of the flow, we prove that any solution of the basic Dirac equation is th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6c3eae791666b477199501cf3d6bdcf
https://hal.archives-ouvertes.fr/hal-01265987/document

Some remarks on the geometry of superspace supergravity

Autor: Fida El Chami, Michel Egeileh

Publikováno v: Journal of Geometry and Physics. 62:53-60

In this note, we first give a quick presentation of the supergeometry underlying supergravity theories, using an intrinsic differential geometric language. For this, we adopt the point of view of Cartan geometries, and rely as well on the work of Joh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::444f82204186bfed753a70ced8f774d4
https://doi.org/10.1016/j.geomphys.2011.09.008

Error estimates for three-dimensional Stokes problem with non-standard boundary conditions

Autor: Fida El Chami, Hyam Abboud, Toni Sayah

Publikováno v: Comptes Rendus Mathematique. 349:523-528

This work is devoted to the optimal and a posteriori error estimates of the Stokes problem with some non-standard boundary conditions in three dimensions. The variational formulation is decoupled into a system for the velocity and a Poisson equation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd50e3cbe379e9d2a6a7471d731b7fe3
https://doi.org/10.1016/j.crma.2011.03.021