Zhixin Wang

collaborators

3 papers

math.DG2026

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$

Fang Wang, Zhixin Wang

We prove that if $(M^{m}, h)$ is a Yamabe metric, then the product metric $h + g_{flat}$ on $M^{m} \times T^{n - m}$ is also a Yamabe metric whenever the flat torus $T^{n - m}$ is…

math.DG2026

Scalar Curvature Compactness for Warped Products on $S^{2} \times S^{1}$ with Varying Base Metrics

Changliang Wang, Zhixin Wang

We study the Gromov--Sormani MinA scalar curvature compactness conjecture for warped product metrics on $S^{2} \times S^{1}$ of the form introduced by Kazaras-Xu in \ci…

math.DG2025

Riccati Equation for Static Spaces and its Applications

Zhixin Wang

In this paper, we derive a Riccati-type equation applicable to (sub-)static Einstein spaces and examine its various applications. Specifically, within the framework of conformally…

Gap Phenomenon for Yamabe Type Problems of Mm×Tn−m

Scalar Curvature Compactness for Warped Products on S2×S1 with Varying Base Metrics

Riccati Equation for Static Spaces and its Applications

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$

Scalar Curvature Compactness for Warped Products on $S^{2} \times S^{1}$ with Varying Base Metrics