Lei Ni

3.1k total citations
55 papers, 1.6k citations indexed

About

Lei Ni is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Lei Ni has authored 55 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Applied Mathematics, 44 papers in Geometry and Topology and 23 papers in Astronomy and Astrophysics. Recurrent topics in Lei Ni's work include Geometric Analysis and Curvature Flows (51 papers), Geometry and complex manifolds (41 papers) and Advanced Differential Geometry Research (20 papers). Lei Ni is often cited by papers focused on Geometric Analysis and Curvature Flows (51 papers), Geometry and complex manifolds (41 papers) and Advanced Differential Geometry Research (20 papers). Lei Ni collaborates with scholars based in United States, China and Taiwan. Lei Ni's co-authors include Peng Lü, Bennett Chow, Luen-Fai Tam, Nolan R. Wallach, Brett Kotschwar, Dan Knopf, Ben Andrews, David Glickenstein, Tom Ivey and Feng Luo and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Lei Ni

54 papers receiving 1.5k citations

Peers

Countries citing papers authored by Lei Ni

Since Specialization

Citations

This map shows the geographic impact of Lei Ni's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Lei Ni with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lei Ni more than expected).

Fields of papers citing papers by Lei Ni

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Lei Ni. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Lei Ni. The network helps show where Lei Ni may publish in the future.

Co-authorship network of co-authors of Lei Ni

This figure shows the co-authorship network connecting the top 25 collaborators of Lei Ni. A scholar is included among the top collaborators of Lei Ni based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Lei Ni. Lei Ni is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	A Schur’s theorem via a monotonicity and the expansion module 2023 ·Journal für die reine und angewandte Mathematik (Crelles Journal) ·Lei Ni	0
2	Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds 2021 ·Communications on Pure and Applied Mathematics ·Lei Ni	14
3	The fundamental group, rational connectedness and the positivity of Kähler manifolds 2020 ·Journal für die reine und angewandte Mathematik (Crelles Journal) ·Lei Ni	9
4	Entropy and a convergence theorem for Gauss curvature flow in high dimension 2017 ·Journal of the European Mathematical Society ·Pengfei Guan, Lei Ni	33
5	Flow by powers of the Gauss curvature 2016 ·Advances in Mathematics ·Ben Andrews, Pengfei Guan, Lei Ni	42
6	Isoperimetric Comparisons via Viscosity 2015 ·Journal of Geometric Analysis ·Lei Ni, Kui Wang	5
7	A Perron-type Theorem on the Principal Eigenvalue of Nonsymmetric Elliptic Operators 2014 ·American Mathematical Monthly ·Lei Ni	3
8	Poincaré–Lelong equation via the Hodge–Laplace heat equation 2013 ·Compositio Mathematica ·Lei Ni, Luen-Fai Tam	15
9	Estimates on the modulus of expansion for vector fields solving nonlinear equations 2012 ·Journal de Mathématiques Pures et Appliquées ·Lei Ni	20
10	Geometric-analytic aspects 2010 ·American Mathematical Society eBooks ·Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, (unknown), Feng Luo, Lei Ni	3
11	The Ricci Flow: Techniques and Applications 2010 ·Mathematical surveys and monographs ·Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lü, Feng Luo, Lei Ni	48
12	Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula 2009 ·Annales Scientifiques de l École Normale Supérieure ·Brett Kotschwar, Lei Ni	66
13	Local Aronson–Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds 2008 ·Journal de Mathématiques Pures et Appliquées ·Peng Lü, Lei Ni, Juan Luís Vázquez, Cédric Villani	55
14	The Ricci Flow: Techniques and Applications 2007 ·Mathematical surveys and monographs ·Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lü, Feng Luo, Lei Ni	87
15	The Ricci Flow: Techniques and Applications 2007 ·Mathematical surveys and monographs ·Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lü, Feng Luo, Lei Ni	150
16	Hamilton’s Ricci Flow 2006 ·Graduate studies in mathematics ·Bennett Chow, Peng Lü, Lei Ni	237
17	Complete manifolds with nonnegative curvature operator 2006 ·Proceedings of the American Mathematical Society ·Lei Ni, (unknown)	21
18	Gap theorems for minimal submanifolds in $R^{n+1}$ 2001 ·Communications in Analysis and Geometry ·Lei Ni	36
19	On the holomorphicity of proper harmonic maps between unit balls with the Bergman metrics 2000 ·Mathematische Annalen ·Song-Ying Li, Lei Ni	12
20	Vanishing theorems on complete Kähler manifolds and their applications 1998 ·Journal of Differential Geometry ·Lei Ni	25

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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