Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces

Knieper, Gerhard; Parker, John R; Peyerimhoff, Norbert

doi:10.1016/j.difgeo.2020.101605

All Outputs (3)

Non-arithmetic monodromy of higher hypergeometric functions (2020)
Journal Article
Parker, J. R. (2020). Non-arithmetic monodromy of higher hypergeometric functions. Journal d'Analyse Mathématique, 142, 41-70. https://doi.org/10.1007/s11854-020-0132-5

We show that all the currently known non-arithmetic lattices in PU(2, 1) are monodromy groups of higher hypergeometric functions.

New non-arithmetic complex hyperbolic lattices II (2020)
Journal Article
Deraux, M., Parker, J. R., & Paupert, J. (2021). New non-arithmetic complex hyperbolic lattices II. Michigan Mathematical Journal, 70(1), 133-205. https://doi.org/10.1307/mmj/1592532044

We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups. This allows us to produce new nonarithmetic lattices, bringing the number of known nonarithmetic commensurability classes in PU(2,1) to 22.

Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces (2020)
Journal Article
Knieper, G., Parker, J. R., & Peyerimhoff, N. (2020). Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces. Differential Geometry and its Applications, 69, Article 101605. https://doi.org/10.1016/j.difgeo.2020.101605

In this article we consider solvable hypersurfaces of the form with induced metrics in the symmetric space , where H a suitable unit length vector in the subgroup A of the Iwasawa decomposition . Since M is rank 2, A is 2-dimensional and we can param... Read More about Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces.