35 citations · 72 across the 6 of their papers we have counts for
6 papers
Conformal models for hypercolumns in the primary visual cortex V1
D. V. Alekseevsky, A. Spiro
We propose a differential geometric model of hypercolumns in the primary visual cortex V1 that combines features of the symplectic model of the primary visual cortex by A. Sarti, G…
Decomposable solutions in eleven-dimensional supergravity
Dmitri Alekseevsky, Ioannis Chrysikos, Arman Taghavi-Chabert
Consider an oriented four-dimensional Lorentzian manifold and an oriented seven-dimensional Riemannian manifold . We describe a…
Reflection groups on Riemannian manifolds
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We investigate discrete groups of isometries of a complete connected Riemannian manifold which are generated by reflections, in particular those generated by disecting refl…
Poisson structures on double Lie groups
D. Alekseevsky, J. Grabowski, G. Marmo +1
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gi…
Choosing roots of polynomials smoothly
Dmitri Alekseevsky, Andreas Kriegl, Mark Losik +1
We clarify the question whether for a smooth curve of polynomials one can choose the roots smoothly and related questions. Applications to perturbation theory of operators are give…
Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions
Dmitri V. Alekseevsky, Janusz Grabowski, Giuseppe Marmo +1
On a cotangent bundle $T\sp*G$ of a Lie group one can describe the standard Liouville form and the symplectic form in terms of the right Maurer Cartan form and the le…