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- Interdisciplinary Centre for Security, Reliability and TrustLU193 papers
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6 papers · 2 filters
Cusp forms for locally symmetric spaces of infinite volume
Gilles Becker
Let be a real simple linear connected Lie group of real rank one. Then, is a Riemannian symmetric space with strictly negative sectional curvature. By the classi…
On the concept of a filtered bundle
Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski
We present the notion of a filtered bundle as a generalisation of a graded bundle. In particular, we weaken the necessity of the transformation laws for local coordinates to exactl…
Constant mean curvature foliation of globally hyperbolic (2+1)-spacetimes with particles
Qiyu Chen, Andrea Tamburelli
Let be a globally hyperbolic maximal compact -dimensional spacetime locally modelled on Minkowski, anti-de Sitter or de Sitter space. It is well known that admits a uniq…
Modular classes of Q-manifolds: a review and some applications
Andrew James Bruce
A Q-manifold is a supermanifold equipped with an odd vector field that squares to zero. The notion of the modular class of a Q-manifold -- which is viewed as the obstruction to the…
Hyperbolic ends with particles and grafting on singular surfaces
Qiyu Chen, Jean-Marc Schlenker
We prove that any hyperbolic end with particles (cone singularities along infinite curves of angles less than ) admits a unique foliation by constant Gauss curvature surfaces. U…
Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds
Vincent Pecastaing
Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest…