منابع مشابه
Conformal Laplacian and Conical Singularities
We study a behavior of the conformal Laplacian operatorLg on a manifold with tame conical singularities: when each singularity is given as a cone over a product of the standard spheres. We study the spectral properties of the operator Lg on such manifolds. We describe the asymptotic of a general solution of the equation Lgu = Qu α with 1 ≤ α ≤ n+2 n−2 near each singular point. In particular, we...
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© Bulletin de la S. M. F., 1992, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impress...
متن کاملFootballs, Conical Singularities and the Liouville Equation
We generalize the football shaped extra dimensions scenario to an arbitrary number of branes. The problem is related to the solution of the Liouville equation with singularities and explicit solutions are presented for the case of three branes. The tensions of the branes do not need to be tuned with each other but only satisfy mild global constraints. ∗email: [email protected]
متن کاملGeneralised Hyperbolicity in Space-times with Conical Singularities
A desirable property of any space-time used to model a physically plausible scenario is that the evolution of the Einstein’s equations is well posed i.e. the initial value problem has a unique solution. Space-times whose metrics are at least C, which guarantees the existence of unique geodesics, fall within the context of the Cosmic Censorship Hypothesis of Penrose (1979). The hypothesis states...
متن کاملConical Surfaces and Crescent Singularities in Crumpled Sheets
We analyze the geometry and elasticity of the crescentlike singularity on a crumpled elastic sheet. We give a physical realization of this in terms of a free-boundary contact problem. An analytical solution is given for the universal shape of a developable cone that characterizes the singularity far from the tip, and some of its predictions are qualitatively verified experimentally. We also giv...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1996
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531650