arXiv subjects

Justin M. Ryan

Publications and source records attributed to Justin M. Ryan.

2 recordsLinked to original sources

arXiv2021

Pseudo-Riemannian Lie groups of modified H-type

We define a class of Riemannian and pseudo-Riemannian 2-step nilpotent Lie groups with nondegenerate centers that generalize the H-type groups of Kaplan. Examples are given and geometric properties are investigated.

math.DG↗

arXiv2013

Horizontal Path Lifting for General Connections

We characterize the existence of horizontal path lifts for general connections on arbitrary fiber bundles with a new property that also gives fresh insight into linear and $G$-connections.

math.DG↗