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math.SG2020
Construction of an Engel manifold with trivial automorphism group
K. Yamazaki
An Engel manifold is a 4-manifold with a completely non-integrable 2-distribution called Engel structure. I research the functorial relation between Engel manifolds and Contact 3-o…
math.SG2019
Developing Maps and Engel Automorphisms
Koji Yamazaki
A completely nonintegrable -dimensional distribution on a -manifold is called an Engel structure. A -manifold with an Engel structure is called an Engel manifold. The deve…
math.SG2018★ 1 cited
Engel Manifolds and Contact 3-Orbifolds
Koji Yamazaki
In early study of Engel manifolds from R. Montgomery, the Cartan prolongation and the development map are central figures. However, the development map can be globally defined only…