Rigid Two-Step Nilpotent Lie Groups Relative to Multicontact Structures
Irene Venturi
Università di Genova, Italy

Abstract
Let {Xi,Yk} denote a fixed basis of theLie algebra n of a connected and simply connected nilpotent Lie group N of step two. Under a technical assumption on{Xi,Yk}, we prove that the Lie algebra M of vector fields V on N that satisfy [V,Xi] = λi__Xiis finite dimensional, a property that we refer to as rigidity. Our proofallows the explicit count of dim M.
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