Tangent unit-vector fields: non-abelian homotopy invariants and the Dirichlet energy

DOI10.1016/j.crma.2009.09.002zbMath1178.58006OpenAlexW3147939401MaRDI QIDQ1032844

Maxim Zyskin, Apala Majumdar, Jonathan M. Robbins

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.002

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Geodesics in global differential geometry (53C22) Harmonic maps, etc. (58E20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (4)

Computing area in presentations of the trivial group ⋮ The Bounded and Precise Word Problems for Presentations of Groups ⋮ Why do mathematicians need different ways of presenting mathematical objects? The case of Cayley graphs ⋮ Tangent unit-vector fields: non-abelian homotopy invariants and the Dirichlet energy

Cites Work

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• Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
• Tangent unit-vector fields: non-abelian homotopy invariants and the Dirichlet energy
• Harmonic maps with defects
• Elastic energy for reflection-symmetric topologies
• Elastic energy of liquid crystals in convex polyhedra
• Classification of unit-vector fields in convex polyhedra with tangent boundary conditions
• Harmonic Mappings of Riemannian Manifolds

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