Classification of Engel knots
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Abstract
Let
$$(M,{\mathcal {D}})$$
(
M
,
D
)
be an Engel 4-manifold. We show that the scanning map from the space of Engel knots to the space of formal Engel knots is a weak homotopy equivalence when restricted to the complement of the closed
$$\ker ({\mathcal {D}})$$
ker
(
D
)
-orbits. This is a relative, parametric, and
$$C^0$$
C
0
-close h-principle.
Date issued
2018-03-01Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer Berlin Heidelberg