19 citations · 63 across the 28 of their papers we have counts for
30 papers
Counting compatible indexing systems for
Michael A. Hill, Jiayun Meng, Nan Li
We count the number of compatible pairs of indexing systems for the cyclic group . Building on work of Balchin--Barnes--Roitzheim, we show that this sequence of natural nu…
Kähler Finsler manifolds with curvatures bounded from below
Bin Chen, Nan Li, Siwei Liu
We obtain a partial parallelism of the complex structure on Kähler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curv…
Improved proof-by-contraction method and relative homologous entropy inequalities
Nan Li, Chuan-Shi Dong, Dong-Hui Du +1
The celebrated holographic entanglement entropy triggered investigations on the connections between quantum information theory and quantum gravity. An important achievement is that…
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…
Quantitative Estimates on the Singular Sets of Alexandrov Spaces
Nan Li, Aaron Naber
Let be an -dimensional Alexandrov space with curvature . Let the -scale -singular set be the collection of…
Lipschitz-Volume Rigidity and Globalization
Nan Li
Let and be length metric spaces. Let denote the -dimensional Hausdorff measure. The Lipschitz-Volume Rigidity is a property that if there exists a 1-Lipsc…