6 citations · 24 across the 6 of their papers we have counts for
6 papers
Tanaka structures (non holonomic G-structures) and Cartan connections
Dmitri V. Alekseevsky, Liana David
Let \gh = \gh_{-k}\oplus \cdots \oplus \gh_{l} (k >0, l \geq 0) be a finite dimensional real graded Lie algebra, with a Euclidian metric \langle \cdot , \cdot \rangle adapted to th…
The Riemannian geometry of orbit spaces. The metric, geodesics, and integrable systems
Dmitry Alekseevsky, Andreas Kriegl, Mark Losik +1
We investigate the rudiments of Riemannian geometry on orbit spaces for isometric proper actions of Lie groups on Riemannian manifolds. Minimal geodesic arcs are length minim…
Compact homogeneous CR manifolds
Dmitry V. Alekseevsky, Andrea F. Spiro
We classify all compact simply connected homogeneous CR manifolds of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our…
Completely integrable systems: a generalization
Dmitry Alekseevsky, Janusz Grabowksi, Giuseppe Marmo +1
We present a slight generalization of the notion of completely integrable systems to get them being integrable by quadratures. We use this generalization to integrate dynamical sys…
Invariant CR Structures on Compact Homogeneous Manifolds
Dmitry V. Alekseevsky, Andrea F. Spiro
An explicit classification of simply connected compact homogeneous CR manifolds G/L of codimension one, with non-degenerate Levi form, is given. There are three classes of such man…
Classification of -(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of
Dmitry V. Alekseevsky, Vicente Cortés
We classify extended Poincaré Lie super algebras and Lie algebras of any signature (p,q), that is Lie super algebras and Z_2-graded Lie algebras g = g_0 + g_1, where g_0 = so(V) +…