5 citations · 7 across the 5 of their papers we have counts for
5 papers
Classification of Affinely Homogeneous Hessian Rank 2 Hypersurfaces S^3 in R^4
Julien Heyd, Joel Merker
We determine all affinely homogeneous hypersurfaces S^3 in R^4 whose Hessian is (invariantly) of constant rank 2, including the simply transitive ones. We find 34 inequivalent term…
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…
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…
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…
New Explicit Lorentzian Einstein-Weyl Structures in 3-Dimensions
Joël Merker, Paweł Nurowski
On a D manifold, a Weyl geometry consists of pairs (metric, -form) modulo gauge , . In 1943, Cartan showe…