The torsion flow on a closed pseudohermitian 3-manifold

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

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arXiv · 1305.5391

The torsion flow on a closed pseudohermitian 3-manifold

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

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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.

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Shu-Cheng Chang, Otto van Koert, Chin-Tung Wu. 2014-01-22. The torsion flow on a closed pseudohermitian 3-manifold. https://arxiv.org/abs/1305.5391

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