C. Hill

activity

20072023

most citedDifferential equations and para-CR structures

9 citations · 15 across the 24 of their papers we have counts for

collaborators

33 papers

math.CV2023

Infinitesimal CR Symmetries of Accidental CR Structures

C. Denson Hill, Joël Merker, Zhaohu Nie +1

In this companion paper to our article {\em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explic…

math.CV2023

Accidental CR structures

C. Denson Hill, Joël Merker, Zhaohu Nie +1

We noticed a discrepancy between Élie Cartan and Sigurdur Helgason about the lowest possible dimension in which the simple exceptional Lie group $E_{8}$ can be realized. This r…

math.CV2020

A stability theorem for projective $C R$ manifolds

Judith Brinkschulte, C. Denson Hill, Mauro Nacinovich

We consider smooth deformations of the $C R$ structure of a smooth $2$ -pseudoconcave compact $C R$ submanifold $M$ of a reduced complex analytic variety $X$ outside…

math.DG2019

A car as parabolic geometry

C. Denson Hill, Paweł Nurowski

We show that a car, viewed as a nonholonomic system, provides an example of a flat parabolic geometry of type $(SO (2, 3), P_{12})$ , where $P_{12}$ is a Borel parabolic subgroup…

math.CV2019

Flexible and inflexible $C R$ submanifolds

Judith Brinkschulte, C. Denson Hill

In this paper we prove new embedding results for compactly supported deformations of $C R$ submanifolds of $C^{n + d}$ : We show that if $M$ is a $2$ -pseudoconcave $C R$ subman…

math.CV2019

Aspects of the Levi form

Judith Brinkschulte, C. Denson Hill, Jürgen Leiterer +1

We discuss various analytical and geometrical aspects of the Levi form, which is associated with a CR manifold having any CR dimension and any CR codimension.