Some geometric results of generalized stereographic projection

Charge as the Stereographic Projection of Geometric Precession on Pseudospheres

In this paper the Berry and Aharonov-Bohm phases are generalized to nonlinear topological phase fields on pseudospheres, where the coordinate vector field is parallel transported along the signal/soliton vector field with Levi–Civita connection. Projective PSL(2,R) symmetry describes the relativistic self-interacting bosonic sine-Gordon field. A Coulomb potential can be induced as the stereogra...

Some Results in Generalized Serstnev Spaces

SPICA: stereographic projection for interactive crystallographic analysis

SPICA: stereographic projection for interactive crystallographic analysis" (2016). Author(s) of this paper may load this reprint on their own web site or institutional repository provided that this cover page is retained. Republication of this article or its storage in electronic databases other than as specified above is not permitted without prior permission in writing from the IUCr. SPICA: s...

A Spatial Problem Solved with Stereographic Projection

The IMO Jury looked for a relatively simple geometric question for the IMO paper, and decided to use only the planar version of the problem. The answer in the planar variant is not surprising: any completely symmetric set consists of the vertices of a regular polygon. The straightforward generalization to space would read: a completely symmetric set consists either of the vertices of a regular ...

Some Results on a Generalized Archimedean Family of Copulas

Durante et al. (2007) introduced a class of bivariate copulas depending on two generators which generalizes some known families such as the Archimedean copulas. In this paper we provide some result on properties of this family when the generators are certain univariate survival functions.