Flows and a tangency condition for embeddable CR structures in dimension 3
arXiv:1305.4451
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
20 pages. arXiv admin note: substantial text overlap with arXiv:math/0202051