Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Abstract

We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.

Keywords

• analytic torsion
• rumin complex
• rockland complex
• generic rank two distribution
• (2, 3, 5) distribution
• sub-riemannian geometry
• nilmanifold
• 58j52 (primary) and 11m41
• 53c17
• 58a30
• 58j10
• 58j42