16 citations · 32 across the 12 of their papers we have counts for
19 papers
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…
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…
Numerically destabilizing minimal discs
Nicholas Brubaker, Thomas Murphy, K. Oskar Negron
When calculating the index of a minimal surface, the set of smooth functions on a domain with compact support is the standard setting to describe admissible variations. We show tha…
Random Manifolds have no Totally Geodesic Submanifolds
Thomas Murphy, Frederick Wilhelm
For we show that generic closed Riemannian -manifolds have no nontrivial totally geodesic submanifolds, answering a question of Spivak. An immediate consequence is a s…
Destabilising compact warped product Einstein manifolds
Wafaa Batat, Stuart James Hall, Thomas Murphy
The linear stability of warped product Einstein metrics as fixed points of the Ricci flow is investigated. We generalise the results of Gibbons, Hartnoll and Pope and show that in…