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On non-Riemannian geometry of twisted nematic liquid crystals

1999/09/13 by L. C. García de Andrade, L. C. Garcia de Andrade, de Andrade, L. C. Garcia
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Condensed Matter (cond-mat) #FOS: Physical sciences #Mathematics and Applications #Microtubule and mitosis dynamics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9909178

Latex file 9Kb

arxiv created 1999/09/13 · openalex publication_date 1999/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A teleparallel geometrical description of the nematic phases of liquid crystals is proposed.In the case of the twisted geometry of nematics Cartan torsion is given by a spatial helical form which depends on the twist angle. Geodesics of a test particle around the teleparallel liquid crystal are given.

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