74 research outputs found
Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary
Eigenvalue estimate for the Dirac-Witten operator is given on bounded domains
(with smooth boundary) of spacelike hypersurfaces satisfying the dominant
energy condition, under four natural boundary conditions (MIT, APS, modified
APS, and chiral conditions). This result is a generalisation of Friedrich's
inequality for the usual Dirac operator. The limiting cases are also
investigated.Comment: 2007, 18 pages, submitted 02 June 200
Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
We prove upper bounds on angular momentum and centre of mass in terms of the
Hamiltonian mass and cosmological constant for non-singular asymptotically
anti-de Sitter initial data sets satisfying the dominant energy condition. We
work in all space-dimensions larger than or equal to three, and allow a large
class of asymptotic backgrounds, with spherical and non-spherical conformal
infinities; in the latter case, a spin-structure compatibility condition is
imposed. We give a large class of non-trivial examples saturating the
inequality. We analyse exhaustively the borderline case in space-time dimension
four: for spherical cross-sections of Scri, equality together with completeness
occurs only in anti-de Sitter space-time. On the other hand, in the toroidal
case, regular non-trivial initial data sets saturating the bound exist.Comment: improvements in the presentation; some statements correcte
Some Curvature Problems in Semi-Riemannian Geometry
In this survey article we review several results on the curvature of
semi-Riemannian metrics which are motivated by the positive mass theorem. The
main themes are estimates of the Riemann tensor of an asymptotically flat
manifold and the construction of Lorentzian metrics which satisfy the dominant
energy condition.Comment: 25 pages, LaTeX, 4 figure
Hémorragie digestive aiguë [Acute gastrointestinal bleeding]
Gastrointestinal bleeding is among the major clinical challenges for the gastroenterologists and the initial approach is very complex. For a big part of bleeding lesions, it is important to perform an endoscopic hemostatis after the introduction of an intravenous treatment (that has to be started as soon as there is a clinical suspicion of an upper gastrointestinal bleeding). The significant progresses made during the last years have allowed firstly to see the entire small bowel mucosa (video capsule) and secondly new treatments have successfully replaced surgical interventions
NMR studies of pore formation and water diffusion in self-hardening cut-off wall materials
Cut-off walls for the containment of polluted sites are vertical in-ground barriers of low hydraulic cond. To construct these barriers, self-hardening watery suspensions of a special cement-based hydraulic binder and a cement-stable bentonite are used. The formation of the pore structure during hardening of suspensions with different solid contents and the water self-diffusion in the resulting cut-off wall materials were studied by non-destructive 1H NMR techniques. It was found that an increased amt. of hydrating solids in the suspension leads to a decrease in NMR relaxation times and self-diffusion coeffs. of the pore water, indicating a redn. of the pore sizes and an enhancement of the diffusion resistance. The self-diffusion coeffs. of the water in the hardened cut-off wall materials were detd. to be about four orders of magnitude smaller than in bulk liq. water and two orders of magnitude smaller than in pure bentonite-water suspensions confirming the excellent diffusive resistance of the cut-off wall materials
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