The intention of this study is the analysis of thermal behavior of functionally graded beam (FGB). The distribution of material properties is imitated exponential function. For thermal loading the steady state of heat conduction with exponentially and hyperbolic variations through the thickness of FGB, is considered. With comparing of thermal behavior of both isotropic beam and FGB, it is appea...

Let f : M → N be a homotopy equivalence between closed negatively curved manifolds. The fundamental existence results of Eells and Sampson [5] and uniqueness of Hartmann [15] and Al’ber [1] grant the existence of a unique harmonic map h homotopic to f . Based on the enormous success of the harmonic map technique Lawson and Yau conjectured that the harmonic map h should be a diffeomorphism. This...

The use of harmonic maps has been spectacularly successful in proving rigidity (and superrigidity) results for non-positively curved Riemannian manifolds. This is witnessed for example by results of Sui [31], Sampson [26], Corlette [6], Gromov and Schoen [18], Jost and Yau [22], and Mok, Sui and Yeung [23]. All of which are based on the pioneering existence theorem of Eells and Sampson [13] and...

§0 Introduction. In a paper of Wan [W], he proved that for each holomorphic quadratic differential defined on the Euclidean 2-disk, D, there exists a harmonic diffeomorphism from the real hyperbolic plane H R into itself, such that its Hopf differential is the given holomorphic quadratic differential after representing H R by the Poincaré model. In addition, he also proved that this corresponde...

The external argument theory of Douady and Hubbard allows us to know both the potential and the field-lines in the exterior of the Mandelbrot set. Nonetheless, there are no explicit formulae to operate with external arguments, and the external argument theory is difficult to apply. In this paper we introduce some tools in order to obtain formulae to operate with external arguments in the Mandel...

the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

We show that for any closed surface of genus greater than one and finite weighted graph filling the surface, there exists a hyperbolic metric which realizes least Dirichlet energy harmonic embedding among fixed homotopy class all metrics on surface. give explicit examples such surfaces through new interpretation Nielsen realization problem mapping groups.

A family of classical integrable systems defined on a deformation of the twodimensional sphere, hyperbolic and (anti-)de Sitter spaces is constructed through Hamiltonians defined on the non-standard quantum deformation of a sl(2) Poisson coalgebra. All these spaces have a non-constant curvature that depends on the deformation parameter z. As particular cases, the analogues of the harmonic oscil...

By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is super...

This paper presents a new current mode (CM) single-input and multi-output (SIMO)-type biquad using two multiple output OTAs and one current follower as an active device and having two grounded capacitors. This SIMO type circuit realizes all the five filter functions as low pass, band pass, high pass, band reject and all pass filter transfer functions simultaneously. This circuit has the unity g...