Bennett Chow

3.7k total citations · 1 hit paper
56 papers, 2.1k citations indexed

About

Bennett Chow is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Bennett Chow has authored 56 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Applied Mathematics, 35 papers in Geometry and Topology and 22 papers in Astronomy and Astrophysics. Recurrent topics in Bennett Chow's work include Geometric Analysis and Curvature Flows (52 papers), Geometry and complex manifolds (30 papers) and Advanced Differential Geometry Research (19 papers). Bennett Chow is often cited by papers focused on Geometric Analysis and Curvature Flows (52 papers), Geometry and complex manifolds (30 papers) and Advanced Differential Geometry Research (19 papers). Bennett Chow collaborates with scholars based in United States, China and Taiwan. Bennett Chow's co-authors include Dan Knopf, Peng Lü, Feng Luo, Lei Ni, Sun-Chin Chu, Dong-Ho Tsai, David Glickenstein, Christine Guenther, Richard S. Hamilton and Robert Gulliver and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Inventiones mathematicae and American Mathematical Monthly.

In The Last Decade

Bennett Chow

55 papers receiving 1.9k citations

Hit Papers

The Ricci Flow: An Introduction 2004 2026 2011 2018 2004 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. The Ricci Flow: An Introduction
    2004 336 citations Bennett Chow, Dan Knopf Mathematical surveys and monographs profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bennett Chow United States 19 1.9k 1.5k 805 219 183 56 2.1k
Detlef Gromoll United States 20 2.1k 1.1× 1.7k 1.1× 909 1.1× 558 2.5× 90 0.5× 32 2.6k
Tobias Colding United States 30 3.1k 1.7× 2.4k 1.6× 949 1.2× 483 2.2× 90 0.5× 72 3.3k
David E. Blair United States 23 3.7k 2.0× 3.4k 2.2× 2.0k 2.5× 322 1.5× 87 0.5× 98 4.1k
Peter Petersen United States 16 1.4k 0.7× 1.1k 0.7× 669 0.8× 289 1.3× 43 0.2× 56 1.6k
Franki Dillen Belgium 25 1.7k 0.9× 1.3k 0.9× 881 1.1× 72 0.3× 141 0.8× 117 1.8k
Masaaki Umehara Japan 18 1.1k 0.6× 1.0k 0.7× 285 0.4× 171 0.8× 157 0.9× 98 1.4k
Karsten Grove United States 24 1.3k 0.7× 1.3k 0.8× 398 0.5× 641 2.9× 66 0.4× 67 1.7k
Shyūichi Izumiya Japan 17 679 0.4× 493 0.3× 338 0.4× 83 0.4× 275 1.5× 98 935
Eugenio Calabi United States 20 1.5k 0.8× 1.4k 0.9× 389 0.5× 413 1.9× 138 0.8× 31 2.1k
Christopher B. Croke United States 20 774 0.4× 737 0.5× 186 0.2× 514 2.3× 89 0.5× 57 1.4k

Countries citing papers authored by Bennett Chow

Since Specialization
Citations

This map shows the geographic impact of Bennett Chow'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 Bennett Chow with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bennett Chow more than expected).

Fields of papers citing papers by Bennett Chow

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bennett Chow. 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 Bennett Chow. The network helps show where Bennett Chow may publish in the future.

Co-authorship network of co-authors of Bennett Chow

This figure shows the co-authorship network connecting the top 25 collaborators of Bennett Chow. A scholar is included among the top collaborators of Bennett Chow 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 Bennett Chow. Bennett Chow is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Chow, Bennett. (2023). Ricci Solitons in Low Dimensions. Graduate studies in mathematics.
2.
Chow, Bennett. (2023). Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces. Advanced Nonlinear Studies. 23(1). 6 indexed citations
3.
Chow, Bennett, et al.. (2022). On four-dimensional steady gradient Ricci solitons that dimension reduce. Advances in Mathematics. 403. 108367–108367. 5 indexed citations
4.
Andrews, Ben, et al.. (2020). Extrinsic Geometric Flows. Graduate studies in mathematics. 18 indexed citations
5.
Chow, Bennett & Peng Lü. (2015). Harmonic maps near the identity of Sn. Differential Geometry and its Applications. 42. 31–36. 1 indexed citations
6.
Chow, Bennett & Peng Lü. (2015). Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay. Comptes Rendus Mathématique. 353(11). 1007–1009. 5 indexed citations
7.
Chow, Bennett, Peng Lü, & Bo Yang. (2011). Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons. Comptes Rendus Mathématique. 349(23-24). 1265–1267. 38 indexed citations
8.
Chow, Bennett, Sun-Chin Chu, David Glickenstein, et al.. (2010). Geometric-analytic aspects. American Mathematical Society eBooks. 3 indexed citations
9.
Chow, Bennett, Sun-Chin Chu, David Glickenstein, et al.. (2007). The Ricci Flow: Techniques and Applications. Mathematical surveys and monographs. 87 indexed citations
10.
Chow, Bennett, Sun-Chin Chu, David Glickenstein, et al.. (2007). The Ricci Flow: Techniques and Applications. Mathematical surveys and monographs. 150 indexed citations
11.
Chow, Bennett, Peng Lü, & Lei Ni. (2006). Hamilton’s Ricci Flow. Graduate studies in mathematics. 237 indexed citations
12.
Anderson, Greg W. & Bennett Chow. (2005). A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds. Calculus of Variations and Partial Differential Equations. 23(1). 1–12. 10 indexed citations
13.
Chow, Bennett & Richard S. Hamilton. (2004). The Cross Curvature Flow of 3-Manifolds with Negative Sectional Curvature. DergiPark (Istanbul University). 15 indexed citations
14.
Chow, Bennett & Dan Knopf. (2004). The Ricci Flow: An Introduction. Mathematical surveys and monographs. 336 indexed citations breakdown →
15.
Chow, Bennett & Peng Lü. (2004). The maximum principle for systems of parabolic equations subject to an avoidance set. Pacific Journal of Mathematics. 214(2). 201–222. 13 indexed citations
16.
Chow, Bennett & Robert Gulliver. (1996). Aleksandrov reflection and nonlinear evolution equations, I: The n-sphere and n-ball. Calculus of Variations and Partial Differential Equations. 4(3). 249–264. 18 indexed citations
17.
Chow, Bennett, et al.. (1996). On the nonlinear parabolic equation $\partial_t u = F (\Delta u + nu)$ on $S^n$. Communications in Analysis and Geometry. 4(3). 415–434. 2 indexed citations
18.
Chow, Bennett & Robert Gulliver. (1996). Aleksandrov reflection and nonlinear evolution equations, I: The n-sphere and n-ball. Calculus of Variations and Partial Differential Equations. 4(3). 249–264. 29 indexed citations
19.
Chow, Bennett, et al.. (1991). The Ricci flow on compact 2‐orbifolds with curvature negative somewhere. Communications on Pure and Applied Mathematics. 44(3). 275–286. 17 indexed citations
20.
Chow, Bennett. (1991). On the entropy estimate for the Ricci flow on compact 2-orbifolds. Journal of Differential Geometry. 33(2). 12 indexed citations

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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