Ruojing Jiang

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math.DG2022

Average area ratio and normalized total scalar curvature of hyperbolic n-manifolds

Ruojing Jiang

On closed hyperbolic manifolds of dimension $n \geq 3$ , we review the definition of the average area ratio of a metric $h$ with $R_{h} \geq - n (n - 1)$ relative to the hyperbolic metric $…

math.DG2021

Counting essential minimal surfaces in closed negatively curved n-manifolds

Ruojing Jiang

For closed odd-dimensional manifolds with sectional curvature less or equal than -1, we define the minimal surface entropy that counts the number of surface subgroups. It attains t…