Embeddings of the complex ball into Siegel space

Trigonometry on the Unit Ball of a Complex Hilbert Space

1. Introduction. The unit disc furnished with the Poincaré metric provides a model (the Poincaré model) for the hyperbolic geometry. The linear fractional transformations of the unit disc onto itself constitute the group of motions. An analogous phenomenon arises in the unit ball of any complex Hubert space when it is furnished with the Carathéodory-Reiffen metric. The purpose of this note is t...

Balanced Metric and Berezin Quantization on the Siegel–Jacobi Ball

We determine the matrix of the balanced metric of the Siegel–Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace–Beltrami operator of this manifold. We discuss several geometric aspects related with Berezin quantization on the Siegel–Jacobi ball.

Approximation of Maps into Lipscomb’s Space by Embeddings

the effects of integrating cooperative learning into vocabulary learning of elementary school students

the purpose of the research is to examine if integrating cooperative learning into vocabulary learning helps to increase word recognition of students in an elementary school in iran. it tries to investigate whether cooperative learning approach enables students to improve their language learning. this research used stad (students team achievement division) as a cooperative model in this study. ...

A computational method for the construction of Siegel sets in complex hyperbolic space

This thesis presents a computational method for constructing Siegel sets for the action of Γ = SU(n,1;O) on HC, where O is the ring of integers of an imaginary quadratic field with trivial class group. The thesis first presents a basic algorithm for computing Siegel sets and then considers practical improvements which can be made to this algorithm in order to decrease computation time. This imp...