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math.DG2020★ 1 cited
Affine Homogeneous Surfaces with Hessian rank 2 and Algebras of Differential Invariants
Zhangchi Chen, Joël Merker
Consider a graphed holomorphic surface in under the action of the affine transformation group . In 1999, Eastwood and Ezhov obtained a list…
math.DG2020
Five-dimensional para-CR manifolds and contact projective geometry in dimension three
Joel Merker, Pawel Nurowski
We study invariant properties of -dimensional para-CR structures whose Levi form is degenerate in precisely one direction and which are -nondegenerate. We realize that two, o…
math.DG2020★ 1 cited
On degenerate para-CR structures: Cartan reduction and homogeneous models
Joel Merker, Pawel Nurowski
Motivated by recent works in Levi degenerate CR geometry, this article endeavours to study the wider and more flexible para-CR structures for which the constraint of invariancy und…