Jie Xu

collaborators

3 papers

math.DG2025

On the Rosenberg-Stolz Conjecture for $X \times R^{2}$ and Its Application in Complex Geometry

Jie Xu

Let $X$ be an oriented, closed manifold with $dim X ⩾ 2$ . In this article, we give both Riemannian geoemtry and complex geometry results on (sub)manifolds of the type…

math.DG2025

Existence of Positive Scalar Curvature and Positive Yamabe constant on Hypersurfaces of Noncompact Cylinders

Jie Xu

Let $X$ be an oriented, closed manifold with $dim X ⩾ 2$ . Let $(Z, \partial Z)$ be an oriented, compact manifold with (possibly empty) smooth boundary and $ \dim Z \…

math.DG2025

Scalar and Mean Curvature Comparison on Compact Cylinder

Jie Xu

Let $X$ be a closed, oriented Riemannian manifold. Denote by $(M = X \times I, \partial M = X \times {0} \cup X \times {1}, g)$ a compact cylinder w…

On the Rosenberg-Stolz Conjecture for X×R2 and Its Application in Complex Geometry

Existence of Positive Scalar Curvature and Positive Yamabe constant on Hypersurfaces of Noncompact Cylinders

Scalar and Mean Curvature Comparison on Compact Cylinder

On the Rosenberg-Stolz Conjecture for $X \times R^{2}$ and Its Application in Complex Geometry