5 papers
Topology of low-dimensional generalized Ricci solitons and string backgrounds
Jeffrey Streets
Adapting ideas of \cite{akutagawa2007perelman}, we show that compact generalized Ricci solitons (GRS) have positive Yamabe invariant. We observe a Cheeger-Gromoll-type splitting th…
Hermitian curvature flow and HKT geometry
Beatrice Brienza, Jeffrey Streets
We identify a Hermitian curvature flow which preserves HKT geometry, and whose fixed points are HKT-Einstein metrics, equivalent to a flow suggested by Verbitsky in the context of…
A parabolic flow for the large volume heterotic system
Mario Garcia-Fernandez, Andres J. Moreno, Alec Payne +1
We introduce a geometric flow of conformally coclosed -structures, whose fixed points are large volume solutions of the heterotic system, with vanishing scalar torsion c…
Pluriclosed flow on Oeljeklaus-Toma manifolds
Jeffrey Streets, Xiaokang Wang
We establish global existence of the pluriclosed flow with arbitrary initial data on Oeljeklaus-Toma manifolds, and Gromov-Hausdorff convergence of blowdown limits to a torus under…
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…