Topological properties of ordinary nematics in 3-space

DOI10.1007/BF00046687zbMath0652.57017MaRDI QIDQ1107172

Klaus Jänich

Publication date: 1987

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

knotslinking numbernematic liquid crystaldefect sethomotopy class of a mapping into projective spacemappings of 2-spheres into \(P^ 2\)mappings of tori into \(P^ 2\)

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Covering spaces and low-dimensional topology (57M10) Equilibrium statistical mechanics (82B99) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Related Items (3)

The local defect index up to finite ambiguity ⋮ Topology in Liquid Crystal Phases ⋮ Normally branched line fields on odd-dimensional manifolds

Cites Work

• Obstructions to extensions and homotopies
• On mappings into spaces in which certain homotopy groups vanish
• Mappings of manifolds and the notion of degree

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