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