Nan Li

activity

20112020

most citedExternal zonotopal algebra

8 citations · 19 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.DG2020

Gluing of multiple Alexandrov spaces

Jian Ge, Nan Li

In this paper we discuss the sufficient and necessary conditions for multiple Alexandrov spaces being glued to an Alexandrov space. We propose a Gluing Conjecture, which says that…

math.DG2019★ 1 cited

Quantitative Estimates on the Singular Sets of Alexandrov Spaces

Nan Li, Aaron Naber

Let $X \in Alex^{n} (- 1)$ be an $n$ -dimensional Alexandrov space with curvature $\geq - 1$ . Let the $r$ -scale $(k, ε)$ -singular set $S_{ε, r}^{k} (X)$ be the collection of…

math.DG2019

Lipschitz-Volume Rigidity and Globalization

Nan Li

Let $X$ and $Y$ be length metric spaces. Let $H^{n}$ denote the $n$ -dimensional Hausdorff measure. The Lipschitz-Volume Rigidity is a property that if there exists a 1-Lipsc…

math.DG2019

Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian Manifolds

Shu-Cheng Chang, Yingbo Han, Nan Li +1

In this paper, we show that there exists a nonconstant CR holomorphic function of polynomial growth in a complete noncompact Sasakian manifold of nonnegative pseudohermitian bisect…