A CR manifold M is a differentiable manifold together with a complex subbundle of the complexification of its tangent bundle, which is formally integrable and has zero intersection with its conjugate bundle. A fundamental invariant of a CR manifold M is its vector-valued Levi form. A Levi non degenerate CR manifold of order k≥1 has non degenerate Levi form in a higher order sense. For a (locally) homogeneous manifold Levi non degeneracy of order k can be described in terms of its CR algebra, i.e. a pair of Lie algebras encoding the structure of (locally) homogeneous CR manifolds. I will give an introduction to these topics presenting some recent results
On finitely Levi non degenerate homogeneous CR manifolds / Marini, S. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA (ONLINE). - ISSN 2284-2578. - 13:2(2022), pp. 353-372.
On finitely Levi non degenerate homogeneous CR manifolds
Marini S
2022-01-01
Abstract
A CR manifold M is a differentiable manifold together with a complex subbundle of the complexification of its tangent bundle, which is formally integrable and has zero intersection with its conjugate bundle. A fundamental invariant of a CR manifold M is its vector-valued Levi form. A Levi non degenerate CR manifold of order k≥1 has non degenerate Levi form in a higher order sense. For a (locally) homogeneous manifold Levi non degeneracy of order k can be described in terms of its CR algebra, i.e. a pair of Lie algebras encoding the structure of (locally) homogeneous CR manifolds. I will give an introduction to these topics presenting some recent resultsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
