16 citations · 44 across the 19 of their papers we have counts for
21 papers · 1 filter
Riemannian Geometry and Molecular Similarity II: Kähler Quantization
Daniel J. Cole, Stuart J. Hall, Thomas Murphy +1
Shape-similarity between molecules is a tool used by chemists for virtual screening, with the goal of reducing the cost and duration of drug discovery campaigns. This paper reports…
Rigidity of -type symmetric spaces
Wafaa Batat, Stuart James Hall, Thomas Murphy +1
We prove that the bi-invariant Einstein metric on is isolated in the moduli space of Einstein metrics, even though it admits infinitesimal deformations. This gives a no…
Bounding the invariant spectrum when the scalar curvature is non-negative
Stuart James Hall, Thomas Murphy
On compact Riemannian manifolds with a large isometry group we investigate the invariant spectrum of the ordinary Laplacian. For either a toric Kaehler metric, or a rotationally-sy…
The canonical Einstein metric on is dynamically unstable under the Ricci flow
Stuart James Hall
In this note we show that the bi-invariant Einstein metric on the compact Lie group is dynamically unstable as a fixed point of the Ricci flow. This completes the stability…
Compact Hermitian symmetric spaces, coadjoint orbits, and the dynamical stability of the Ricci flow
Stuart James Hall, Thomas Murphy, James Waldron
Using a stability criterion due to Kröncke, we show, providing , the Kähler--Einstein metric on the Grassmannian of complex -planes in an $n…
Totally umbilical surfaces in three-manifolds with a parallel null vector field
Wafaa Batat, Stuart James Hall
We study non-degenerate, totally umbilical surfaces of a special class of pseudo-Riemannian manifolds, namely Walker three-manifolds. We show that such surfaces are either one of a…