3 papers
math.DG2026
Yamabe-type problems on compact Hermitian manifolds
Daniele Angella, Francesco Pediconi, Carlo Scarpa +2
We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…
math.DG2026
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti
Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarante…
math.DG2026
On the long time behavior of ancient homogeneous Ricci flows
Anusha M. Krishnan, Francesco Pediconi
We prove a precompactness theorem for invariant metrics on compact homogeneous spaces without injectivity radius bounds, assuming uniform bounds on the diameter and on all derivati…