4 papers · 1 filter
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…
Mass Lower Bounds for Asymptotically Locally Flat Manifolds
Marcus Khuri, Jian Wang
We establish positive mass type theorems for asymptotically locally flat (ALF) manifolds, which have asymptotic ends modeled on circle bundles over a Euclidean base with fibers of…
On open manifolds admitting no complete metric with positive scalar curvature
Yuguang Shi, Jian Wang, Runzhang Wu +1
In this paper, we investigate the topological obstruction problem for positive scalar curvature and uniformly positive scalar curvature on open manifolds. We present a definition f…