Tianyi Ren

activity

20162023

most cited

(L^{r}, L^{s})

Resolvent Estimate for the Sphere off the Line

\frac{1}{r} - \frac{1}{s} = \frac{2}{n}

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.DG2023

Quantitative Maximal Diameter Rigidity of Positive Ricci Curvature

Tianyin Ren, Xiaochun Rong

In Riemannian geometry, the Cheng's maximal diameter rigidity theorem says that if a complete $n$ -manifold $M$ of Ricci curvature, $Ric_{M} \geq (n - 1)$ , has the maximal…

math.AP2023

Improved Spectral Cluster Bounds for Orthonormal Systems

Tianyi Ren, An Zhang

We improve Frank-Sabin's work concerning the spectral cluster bounds for orthonormal systems at $p = \infty$ , on the flat torus and spaces of nonpositive sectional curvature, by shri…