The torsion flow on a closed pseudohermitian 3-manifold

Shu-Cheng Chang; Otto van Koert; Chin-Tung Wu

The torsion flow on a closed pseudohermitian 3-manifold

Differential Geometry 2014-01-23 v2 Complex Variables Symplectic Geometry

Authors: Shu-Cheng Chang , Otto van Koert , Chin-Tung Wu

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.

Keywords

torsion flow pseudohermitian manifold cr geometry ricci flow analogue homogeneous cr manifolds cr entropy functionals monotonicity formulas torsion breathers

Cite

@article{arxiv.1305.5391,
  title  = {The torsion flow on a closed pseudohermitian 3-manifold},
  author = {Shu-Cheng Chang and Otto van Koert and Chin-Tung Wu},
  journal= {arXiv preprint arXiv:1305.5391},
  year   = {2014}
}

Comments

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

The torsion flow on a closed pseudohermitian 3-manifold

Abstract

Keywords

Cite

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