4 papers
On totally symplectically aspherical manifolds
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We construct examples of totally symplectically aspherical Kaehler manifolds with non-trivial second homotopy group in every even dimension greater than or equal to six. In dimensi…
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…
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…
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…