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math.DG2013★ 4 cited
Non-Abelian Lie algebroids over jet spaces
Arthemy V. Kiselev, Andrey O. Krutov
We associate Hamiltonian homological evolutionary vector fields --which are the non-Abelian variational Lie algebroids' differentials-- with Lie algebra-valued zero-curvature repre…
math.DG2006
On spiral minimal surfaces
A. V. Kiselev, V. I. Varlamov
A class of spiral minimal surfaces in E^3 is constructed using a symmetry reduction. The new surfaces are invariant with respect to the composition of rotation and dilatation. The…