4 citations · 4 across the 2 of their papers we have counts for
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math-ph2004
Elastic energy of liquid crystals in convex polyhedra
A Majumdar, JM Robbins, M Zyskin
We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-co…
math-ph2004
Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
A. Majumdar, J. M. Robbins, M. Zyskin
We derive a lower bound for energies of harmonic maps of convex polyhedra in to the unit sphere with tangent boundary conditions on the faces. We also establish tha…
math-ph2004
Classification of unit-vector fields in convex polyhedra with tangent boundary conditions
JM Robbins, M Zyskin
A unit-vector field n on a convex three-dimensional polyhedron P is tangent if, on the faces of P, n is tangent to the faces. A homotopy classification of tangent unit-vector field…