87 citations · 289 across the 16 of their papers we have counts for
18 papers
Spacetime Groups
Ian Anderson, Charles Torre
A spacetime group is a connected 4-dimensional Lie group G endowed with a left invariant Lorentz metric h and such that the connected component of the isometry group of h is G itse…
Conformal Walker metrics and linear Fefferman-Graham equations
Ian M Anderson, Thomas Leistner, Andree Lischewski +1
The conformal Fefferman-Graham ambient metric construction is one of the most fundamental constructions in conformal geometry. It embeds a manifold with a conformal structure into…
Sp(3,R) Monge geometries in dimension 8
Ian Anderson, Pawel Nurowski
We study a geometry associated with rank 3 distributions in dimension 8, whose symbol algebra is constant and has a simple Lie algebra sp(3,R) as Tanaka prolongation. We restrict o…
Explicit ambient metrics and holonomy
Ian M. Anderson, Thomas Leistner, Pawel Nurowski
We present three large classes of examples of conformal structures for which the equations for the Fefferman-Graham ambient metric to be Ricci-flat are linear PDEs, which we solve…
Backlund Transformations for Darboux Integrable Differential Systems: Examples and Applications
Ian M. Anderson, Mark E. Fels
In the article arXiv:1108.5443 we established a general group-theoretical approach to the construction of Bäcklund transformations. We then showed how this construction can be appl…
Non-Rigid Parabolic Geometries of Monge Type
Ian Anderson, Zhaohu Nie, Pawel Nurowski
In this paper we study a novel class of parabolic geometries which we call parabolic geometries of Monge type. These parabolic geometries are defined by special gradings of simple…