Homotopy classification of director fields on polyhedral domains with tangent and periodic boundary conditions, with applications to bi-stable post-aligned liquid crystal displays

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dc.creatorZyskin, M.
dc.date2009-01-31
dc.date.accessioned2026-07-07T12:36:51Z
dc.date.available2026-07-07T12:36:51Z
dc.descriptionWe obtain complete topological classification of states of nematic liquid crystal in the geometry of periodic array of rectangular posts between two parallel slabs, with tangent or normal boundary conditions. This classification has applications in bi-stable pos-aligned liquid crystal display design and have technological significance. Methods used in classification are those of algebraic topology and go beyond relative homotopy groups.
dc.identifierhttps://arxiv.org/abs/0902.0090
dc.identifierhttp://arxiv.org/abs/0902.0090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218234
dc.subjectMathematical Physics
dc.subjectAlgebraic Topology
dc.titleHomotopy classification of director fields on polyhedral domains with tangent and periodic boundary conditions, with applications to bi-stable post-aligned liquid crystal displays
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