4 papers · 1 filter
Higher order Levi forms on homogeneous CR manifolds
Stefano Marini, Costantino Medori, Mauro Nacinovich
We investigate the nondegeneracy of higher order Levi forms on weakly nondegenerate homogeneous manifolds. Improving previous results, we prove that general orbits of real for…
On some classes of Z-graded Lie algebras
Stefano Marini, Costantino Medori, Mauro Nacinovich
We study finite dimensional almost and quasi-effective prolongations of nilpotent Z-graded Lie algebras, especially focusing on those having a decomposable reductive structural sub…
L-prolongations of graded Lie algebras
Stefano Marini, Costantino Medori, Mauro Nacinovich
In this paper we translate the necessary and sufficient conditions of Tanaka's theorem on the finiteness of effective prolongations of a fundamental graded Lie algebras into comput…
On transitive contact and algebras
Stefano Marini, Costantino Medori, Mauro Nacinovich +1
We consider locally homogeneous manifolds and show that, under a condition only depending on their underlying contact structure, their automorphisms form a finite dimensi…