Short-Time Existence Theorem for the CR Torsion Flow

Shu-Cheng Chang; Chin-Tung Wu

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arXiv · 1804.06585

Short-Time Existence Theorem for the CR Torsion Flow

Shu-Cheng Chang·Chin-Tung Wu

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Abstract

In this paper, we study the torsion flow which is served as the CR analogue of the Ricci flow in a closed pseudohermitian manifold. We show that there exists a unique smooth solution to the CR torsion flow in a small time interval with the CR pluriharmonic function as an initial data. In spirit, it is the CR analogue of the Cauchy-Kovalevskaya local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems

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BibTeX RIS

Shu-Cheng Chang, Chin-Tung Wu. 2018-04-18. Short-Time Existence Theorem for the CR Torsion Flow. https://arxiv.org/abs/1804.06585

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