منابع مشابه
On the Grushin Operator and Hyperbolic Symmetry
Complexity of geometric symmetry for differential operators with mixed homogeniety is examined here. Sharp Sobolev estimates are calculated for the Grushin operator in low dimensions using hyperbolic symmetry and conformal geometry. Considerable interest exists in understanding differential operators with mixed homogeneity. A simple example is the Grushin operator on R ∆G = ∂ ∂t2 + 4t ∂ ∂x2 . T...
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Hyperbolic monopole motion is studied for well separated monopoles. It is shown that the motion of a hyperbolic monopole in the presence of one or more fixed monopoles is equivalent to geodesic motion on a particular submanifold of the full moduli space. The metric on this submanifold is found to be a generalisation of the multi-centre Taub-NUT metric introduced by LeBrun. The one centre case i...
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We deposit a prescribed amount of liquid on an umbilical hypersurface of the hyperbolic space Hn+1. Under the presence of a uniform gravity vector field directed towards , we seek the shape of such a liquid drop in a state of equilibrium of the mechanical system. The liquid-air interface is then modeled by a hypersurface under the condition that its mean curvature is a function of the distance ...
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Every finite group acts as the full isometry group of some compact hyperbolic 3-manifold. In this paper we study those finite groups which act maximally, that is when the ratio |Isom(M)|/vol(M) is maximal among all such manifolds. In two dimensions maximal symmetry groups are called Hurwitz groups, and arise as quotients of the (2,3,7)–triangle group. Here we study quotients of the minimal co-v...
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Higman has questioned which discrete hyperbolic groups [p, q] have representations onto almost all symmetric and alternating groups. We call this property 3tf and show that, except perhaps for finitely many values of/? and q, [p,q] has property JC. It is well known that the modular group F = (x,y\ x = y = 1> has the property that every alternating and symmetric group is a homomorphic image of F...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1986
ISSN: 0898-1221
DOI: 10.1016/0898-1221(86)90147-1