We establish the relation of partition functions conformal higher spin fields on Weyl equivalent spaces in $d=4$ dimension. express function graviton and as an integral over characters $S^1\times AdS_3$, $S^4$, $AdS_4$. observe that spins hyperbolic cylinders differs from $S^4$ by `edge' contribution. The logarithmic coefficient obtained character $AdS_4$ is half $S^4$. evaluate entanglement en...

Generalized thermoelastic models have been developed with the aim of eliminating the contradiction in the infinite velocity of heat propagation inherent in the classical dynamical coupled thermoelasticity theory. In these generalized models, the basic equations include thermal relaxation times and they are of hyperbolic type. Furthermore, Tzou established the dual-phase-lag heat conduction theo...

Loading conditions and complex geometry have led the cylinder heads to become the most challenging parts of diesel engines. The aim of this study is to compare the distribution of temperature and stress in the aluminum and magnesium cylinder heads under thermo-mechanical loads. The three-dimensional model of the cylinder heads was simulated in abaqus software and a two-layer viscoplasticity mod...

A hyperbolic bration is set of q ?1 hyperbolic quadrics and two lines which together partition the points of PG(3; q). The classical example of a hyperbolic bration comes from a pencil of quadrics; however, several other families are known. In this paper we construct a new family of hyperbolic brations for odd prime powers q. As an application of hyperbolic brations, we note that they can be us...

In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3–manifold is determined by the surface subgroups of its fundamental group. Moreover, we prove that there can be only finitely many closed, orientable, hyperbolic 3–manifolds that have the same set of surfaces.

magnetic field effects on the elastic response of polymeric piezoelectric cylinder reinforced with carbon nanotubes (cnts) is studied. the cylinder is subjected to internal pressure, a constant electric potential difference at the inner and outer surfaces, thermal and magnetic fields. the mori-tanaka model is used for obtaining the equivalent material properties of the cylinder. based on the ch...

By gluing together copies of an all-right angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic −1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.

We show that the entanglement entropy of $D=4$ linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with obtained using Kaluza-Klein tower traceless transverse massive spin-2 fields on $S^1\times AdS_3$. The mass constant mode $S^1$ saturates Brietenholer-Freedman bound in $AdS_3$. This condition also ensures higher spins determined from partition functions h...

Does the existence of secondary markets for durable goods affect price and allocation on primary markets? We study competitive equilibria for durable goods where the possibility of future trade on secondary markets does not affect consumer behaviour in the primary market, provided consumers are exponential discounters. If consumers are hyperbolic discounters, however, secondary markets are no l...