4 citations · 7 across the 7 of their papers we have counts for
10 papers
Attached Submanifolds Beyond Symmetric Spaces
Megan M. Kerr, Tracy L. Payne
We study submanifold geometry in the presence of symmetry, focusing on submanifolds of solvmanifolds with an unusual property relative to Ricci curvature. We generalize work of H.…
Generalized Voronoi Diagrams and Lie Sphere Geometry
John Edwards, Tracy Payne, Elena Schafer
We use Lie sphere geometry to describe two large categories of generalized Voronoi diagrams that can be encoded in terms of the Lie quadric, the Lie inner product, and polyhedra. T…
A different perspective on H-like Lie algebras
Cathy Kriloff, Tracy Payne
We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in , translating the classification problem for H-like Lie al…
Uniform Lie Algebras and Uniformly Colored Graphs
Tracy L. Payne, Matthew Schroeder
Uniform Lie algebras are combinatorially defined two-step nilpotent Lie algebras which can be used to define Einstein solvmanifolds. These Einstein spaces often have nontrivial iso…
Methods for Parametrizing Varieties of Lie Algebras
Tracy L. Payne
We describe how to smoothly parametrize certain families of nilpotent Lie algebras.
The topology of the set of nonsoliton Lie algebras in the moduli space of nilpotent Lie algebras
Tracy L. Payne
A Lie algebra is called nonsoliton if it does not admit a soliton inner product. We demonstrate that the subset of nonsoliton Lie algebras in the moduli space of indecomposable n-d…