Let Γ be a torsion-free lattice in SO0(3, 1), and let M = Γ\H3 be the corresponding hyperbolic 3-manifold. It is wellknown that in the presence of a closed, embedded, totallygeodesic surface in M , the canonical flat conformal structure on M can be deformed via the bending construction. Equivalently, the lattice Γ admits non-trivial deformations into SO0(4, 1). We present a new construction of ...

In this paper, we first study infinitesimal deformations of a Lie conformal algebra and with module (called an [Formula: see text] pair), which lead to the notions Nijenhuis operator on structure pair, respectively. Then, by adding compatibility conditions between structures text]-operators, introduce notion text]-structure pair show that gives rise hierarchy pairwise compatible text]-operators...

Morphing is the process of changing one figure into another. Some numerical methods of 3D surface morphing by deformable modeling and conformal mapping are shown in this study. It is well known that there exists a unique Riemann conformal mapping from a simply connected surface into a unit disk by the Riemann mapping theorem. The dilation and relative orientations of the 3D surfaces can be link...

The flow field, velocity and pressure coefficient distribution of some 2-D ideal flows are presented. Conformal mapping is used to simulate two-dimensional ideal flow for a variety of complex internal and external configurations, based on the numerical integration of Schwarz-Christoffel transformation. The advantages of this method are simplicity and high accuracy. The method presented in this ...

We discuss linear perturbations of the most general class teleparallel spacetimes with cosmological symmetry, and perform a decomposition these into irreducible components. then study their behavior under gauge transformations, i.e., infinitesimal diffeomorphisms background spacetime, derive full set gauge-invariant perturbation variables. Comparing our results around diagonal tetrad correspond...

In this paper, we first show that all inertial systems are not equivalent, and the Lorentz transformation is not the space-time transformation over two inertial systems moving with relative constant velocity. To do this, we consider imaginary signals travelling over any inertial system K with arbitrarily large velocities. The travelling of an imaginary signal over K is just a time lapse over K....

Supersymmetric extensions of the 1D and 2D Swanson models are investigated by applying conformal bridge transformation (CBT) to first order Berry-Keating Hamiltonian multiplied $i$ its conformally neutral enlargements. The CBT plays role Dyson map that transforms into supersymmetric generalizations harmonic oscillator systems, allowing us define pseudo-Hermitian conjugation a suitable inner pro...

where B0 is the trace free part of the second fundamental form of X. It was introduced by Willmore in a slightly different but equivalent form for surfaces in E. The functional is invariant under conformal transformation, and it is natural to extend it for submanifolds in conformal N -sphere S = E ∪ {∞}. Willmore conjecture asks if Clifford torus in S is the unique minimizer of W(X) among all i...