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math.AP2024
Convex waves grazing convex obstacles to high order
Jian Wang, Mark Williams
In a recent paper [WW23] we studied the transport of oscillations in solutions to linear and some semilinear second-order hyperbolic boundary problems along rays that graze a conve…
math.SG2024
The positive fundamental group of
Jian Wang, Qinglong Zhou
In this paper, we examine the homotopy classes of positive loops in . We demonstrate that two positive loops are homotopic if and only if they are homotopic through p…
math.DG2024
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…