39 citations · 82 across the 11 of their papers we have counts for
4 papers · 1 filter
Geometric theory of generalised continua using moving frames
Boris Kolev, Cl{é}ment Ecker
Generalised continuum theories couple the macroscopic deformation and the micro-/meso-scopic deformation of an underlying micro-structure. They can account for internal length-scal…
Weyl's Polarization in Classical Invariant Theory: A Primer, with Worked Examples
L. Darondeau, M. Florence, B. Kolev
Hermann Weyl's The Classical Groups is a landmark work connecting classical invariant theory with modern representation theory. It shows how polynomial invariants of the general li…
Minimal surfaces: A Lagrangian derivation of first and second variations
Romain Lloria, Boris Kolev
This article develops a rigorous Lagrangian formulation of variational calculus for minimal surfaces, using extensively the concept of pullback covariant derivative. It is shown, i…
The linear Elasticity complex: a natural formulation
Romain Lloria, Boris Kolev
We reformulate the Elasticity complex and Saint-Venant's compatibility condition using the generalized differential complex of Dubois-Violette-Henneaux. This is just a slight and n…