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.
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Carbó-Dorca, R., Besalú, E. Geometry of n-dimensional Euclidean space Gaussian enfoldments. J Math Chem 49, 2244–2249 (2011). https://doi.org/10.1007/s10910-011-9883-7
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DOI: https://doi.org/10.1007/s10910-011-9883-7