4 papers · 1 filter
Uniruledness and the sign of total scalar curvature
Zehao Sha, Jian Wang
For every integer , we construct a smooth projective manifold of complex dimension whose canonical bundle is not pseudoeffective, or equivalently, which is uniruled,…
Scalar curvature on Kähler blow-ups and systolic inequalities
Zehao Sha, Jian Wang
In this paper, we develop the weighted level set method for a Kähler manifold admitting an almost holomorphic map to a possibly singular base , which is not uniruled.…
Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities
Marcus Khuri, Jian Wang, Jinmin Wang
We prove the Riemannian positive mass theorem in all dimensions for asymptotically flat -metrics with subcritical singular sets. More precisely, we consider complete asym…
Brownian Loops and the Selberg Zeta Function
Roman Lemonde, Jian Wang
We study the Brownian loop measure on hyperbolic surfaces for Brownian motion with a constant killing rate. We compute the mass of Brownian loops with killing in a free homotopy cl…