Geometry of n-dimensional Euclidean space Gaussian enfoldments

Abstract:

In this study the geometric features and relationships of the points contained into a Gaussian enfoldment of n-dimensional Euclidean space are analyzed. Euclidean distances and angles are described by means of a simple formulation, which demonstrates the topological change underwent by n-dimensional Euclidean spaces upon Gaussian enfoldment, transforming the Euclidean points into enfoldment points lying in a closed sphere of unit radius. This property relates Gaussian enfoldments with the holographic electronic density theorem. © 2011 Springer Science+Business Media, LLC.

Año de publicación:

2011

Keywords:

• Generalized distances and angles in Gaussian enfoldments
• Holographic electronic density theorem (HEDT)
• Gaussian enfoldment of n-dimensional Euclidean spaces
• Multivariate Gaussian functions
• Geometry of Gaussian enfoldment
• Enfoldment points

Fuente:

scopus