JournalsrsmupVol. 122pp. 99–127

Rigid Two-Step Nilpotent Lie Groups Relative to Multicontact Structures

  • Irene Venturi

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

Let {Xi,Yk} denote a fixed basis of the Lie 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__Xi is finite dimensional, a property that we refer to as rigidity. Our proof allows 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