# Complex Engel Structures

@article{Zhao2018ComplexES, title={Complex Engel Structures}, author={Zhiyong Zhao}, journal={arXiv: Differential Geometry}, year={2018} }

We study the geometry of Engel structures, which are 2-plane fields on 4-manifolds satisfying a generic condition, that are compatible with other geometric structures. A complex Engel structure is an Engel 2-plane field on a complex surface for which the 2-planes are complex lines. We solve the equivalence problems for complex Engel structures and use the resulting structure equations to classify homogeneous complex Engel structures. This allows us to determine all compact, homogeneous examples… Expand

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