4 papers
Symplectically aspherical Kähler manifolds, scalar curvature, and the fundamental group
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We present a detailed study of closed smooth manifolds having Kähler forms that pullback to exact forms on the universal cover. We show that these manifolds, which we call symplect…
On totally c-symplectically aspherical manifolds
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We construct examples of totally c-symplectically aspherical near-symplectic manifolds with non-trivial second homotopy group.
Price Inequality and the Growth of Harmonic Functions on Non-Positively Curved Manifolds
Luca F. Di Cerbo, Hayden Hunter, Aaron K. Thrasher
We obtain effective estimates for the growth rate of the -energy of harmonic functions on geodesic balls in complete simply connected non-positively curved Riemannian manifold…
Curvature, macroscopic dimensions, and symmetric products of surfaces
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We present a detailed study of the curvature and symplectic asphericity properties of symmetric products of surfaces. We show that these spaces can be used to answer nuanced questi…