Rigid Two-Step Nilpotent Lie Groups Relative to Multicontact Structures

  • Irene Venturi

    Università di Genova, Italy

Abstract

Let denote a fixed basis of the Lie algebra of a connected and simply connected nilpotent Lie group of step two. Under a technical assumption on , we prove that the Lie algebra of vector fields on that satisfy is finite dimensional, a property that we refer to as rigidity. Our proof allows the explicit count of .

Cite this article

Irene Venturi, Rigid Two-Step Nilpotent Lie Groups Relative to Multicontact Structures. Rend. Sem. Mat. Univ. Padova 122 (2009), pp. 99–127

DOI 10.4171/RSMUP/122-8