4 papers
Almost Hermitian Ricci flow
Casey Lynn Kelleher, Gang Tian
We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to study almost Hermi…
Index-energy estimates for Yang-Mills connections and Einstein metrics
Matthew J. Gursky, Casey Lynn Kelleher, Jeffrey Streets
We prove a conformally invariant estimate for the index of Schrödinger operators acting on vector bundles over four-manifolds, related to the classical Cwikel-Lieb-Rozenblum estima…
Symplectic curvature flow revisited
Casey Lynn Kelleher
We continue studying a parabolic flow of almost Kähler structures introduced by Streets and Tian which naturally extends Kähler-Ricci flow onto symplectic manifolds. In the system…
Limits of Yang-Mills α-connections
Casey Lynn Kelleher
In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps, we identify Yang-Mills connections obtained by approximations with respect to the Yang…