Flows and a tangency condition for embeddable CR structures in dimension 3
Differential Geometry
2013-05-21 v1 Complex Variables
Abstract
We study the fillability (or embeddability) of 3-dimensional structures under the geometric flows. Suppose we can solve a certain second order equation for the geometric quantity associated to the flow. Then we prove that if the initial structure is fillable, then it keeps having the same property as long as the flow has a solution. We discuss the situation for the torsion flow and the Cartan flow. In the second part, we show that the above mentioned second order operator is used to express a tangency condition for the space of all fillable or embeddable structures at one embedded in
Keywords
Cite
@article{arxiv.1305.4451,
title = {Flows and a tangency condition for embeddable CR structures in dimension 3},
author = {Jih-Hsin Cheng},
journal= {arXiv preprint arXiv:1305.4451},
year = {2013}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:math/0202051