The torsion flow on a closed pseudohermitian 3-manifold

Abstract

In this paper we define the torsion flow, a CR analogue of the Ricci flow. For homogeneous CR manifolds we give explicit solutions to the torsion flow illustrating various kinds of behavior. We also derive monotonicity formulas for CR entropy functionals. As an application, we classify torsion breathers.

The short-time existence proof from v1 contained a mistake. The corrected existence results only hold for a special class of CR structures

Cited by in corpus (3)

• Short-Time Existence Theorem for the CR Torsion Flow
• On Li-Yau gradient estimate for sum of squares of vector fields up to higher step
• $C_0$-positivity and a classification of closed three-dimensional CR torsion solitons