Intrinsic geometry and director reconstruction for three-dimensional liquid crystals

We give a description of the intrinsic geometry of elastic distortions in three-dimensional nematic liquid crystals and establish necessary and sufficient conditions for a set of functions to represent these distortions by describing how they couple to the curvature tensor. We demonstrate that, in c...

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Veröffentlicht in:	New journal of physics 2021-06, Vol.23 (6), p.63006
Hauptverfasser:	Pollard, Joseph, Alexander, Gareth P
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature geometric frustration Geometry Group theory Lie groups Liquid crystals Mathematical analysis Nematic crystals Physics Reconstruction soft matter Tensors
Online-Zugang:	Volltext
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