6 citations · 8 across the 5 of their papers we have counts for
6 papers
Properties and Perturbations of Extremally Ricci-Pinched -Structures
Aaron Kennon
We study properties of Extremally Ricci-Pinched (ERP) -Structures on compact -manifolds. We provide characterizations of the ERP condition in terms of the traceless -…
The canonical symmetry reduction of string backgrounds
Aaron Kennon, Jeffrey Streets
String backgrounds, defined here as metric connections with skew-symmetric torsion and reduced holonomy, yield generalized Ricci solitons relative to the Lee vector field. By a var…
Geometric Flows of -Structures on 3-Sasakian 7-Manifolds
Aaron Kennon, Jason D. Lotay
A 3-Sasakian structure on a 7-manifold may be used to define two distinct Einstein metrics: the 3-Sasakian metric and the squashed Einstein metric. Both metrics are induced by near…
Remarks on Exact G-Structures on Compact Manifolds
Aaron Kennon
An important open question in G geometry concerns whether or not a compact seven-manifold can support an exact G-Structure. Given the significance of this question we i…
Spin(7)-Manifolds and Multisymplectic Geometry
Aaron Kennon
We utilize Spin(7) identities to prove that the Cayley four-form associated to a torsion-free Spin(7)-Structure is non-degenerate in the sense of multisymplectic geometry. Therefor…
G-Manifolds and M-Theory Compactifications
Aaron Kennon
The mathematical features of a string theory compactification determine the physics of the effective four-dimensional theory. For this reason, understanding the mathematical struct…