Germs of Engel structures along 3-manifolds
Jiro Adachi · Hokkaido Mathematical Journal · 2004
Engel structures along an embedded 3-manifold in a 4-manifold are studied in this article. It is shown that, among the Engel structures having the same oriented even-contact structure around the given embedded closed oriented 3-manifold as derived distributions with the induced orientations, the germ of Engel structure along the 3-manifold is determined by the singular line field on the 3-manifold traced by the Engel structure.