Yiming Long

3.2k total citations
90 papers, 1.8k citations indexed

About

Yiming Long is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Yiming Long has authored 90 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 42 papers in Geometry and Topology and 21 papers in Astronomy and Astrophysics. Recurrent topics in Yiming Long's work include Geometric Analysis and Curvature Flows (33 papers), Geometry and complex manifolds (18 papers) and Geometric and Algebraic Topology (18 papers). Yiming Long is often cited by papers focused on Geometric Analysis and Curvature Flows (33 papers), Geometry and complex manifolds (18 papers) and Geometric and Algebraic Topology (18 papers). Yiming Long collaborates with scholars based in China, France and United States. Yiming Long's co-authors include Chaofeng Zhu, Sun Yijing, Wu Shaoping, Chungen Lıu, Xijun Hu, Victor Bangert, Wei Wang, Duanzhi Zhang, Tianqing An and Wei Wang and has published in prestigious journals such as IEEE Access, Annals of Mathematics and SAE technical papers on CD-ROM/SAE technical paper series.

In The Last Decade

Yiming Long

85 papers receiving 1.7k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Yiming Long China	22	1.2k	823	463	459	346	90	1.8k
Abbas Bahri United States	22	2.3k 1.9×	429 0.5×	64 0.1×	938 2.0×	122 0.4×	64	2.7k
Yong‐Geun Oh United States	23	993 0.8×	1.4k 1.7×	63 0.1×	1.4k 3.0×	300 0.9×	82	2.2k
Hubert Goldschmidt United States	10	375 0.3×	440 0.5×	255 0.6×	338 0.7×	444 1.3×	35	1.1k
A. D. Bruno Russia	14	125 0.1×	392 0.5×	169 0.4×	83 0.2×	489 1.4×	124	999
Arthur Wasserman United States	18	428 0.4×	305 0.4×	273 0.6×	365 0.8×	199 0.6×	47	1.1k
Arthur L. Besse United States	7	1.4k 1.1×	1.2k 1.4×	840 1.8×	367 0.8×	158 0.5×	15	1.8k
Detlef Gromoll United States	20	2.1k 1.7×	1.7k 2.0×	909 2.0×	558 1.2×	89 0.3×	32	2.6k
Bernard Malgrange France	20	756 0.6×	769 0.9×	48 0.1×	721 1.6×	209 0.6×	64	1.7k
N. G. Lloyd United Kingdom	23	793 0.7×	1.3k 1.6×	68 0.1×	250 0.5×	735 2.1×	40	2.0k
Yu. Ilyashenko Russia	18	244 0.2×	1.0k 1.3×	67 0.1×	424 0.9×	658 1.9×	74	1.4k

Countries citing papers authored by Yiming Long

Since Specialization

Citations

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

Fields of papers citing papers by Yiming Long

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Yiming Long

This figure shows the co-authorship network connecting the top 25 collaborators of Yiming Long. A scholar is included among the top collaborators of Yiming Long 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 Yiming Long. Yiming Long 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

Liu, Hui, et al.. (2025). Three closed characteristics on non-degenerate star-shaped hypersurfaces in R6. Journal of Differential Equations. 446. 113605–113605.

Long, Yiming, et al.. (2016). A new index theory for GL+(2)-paths with applications to asymptotically linear systems. Journal of Differential Equations. 262(9). 4635–4655.

Long, Yiming, et al.. (2015). Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Journal of Differential Equations. 258(11). 3851–3879. 1 indexed citations

Xiao, Yuming & Yiming Long. (2015). Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Advances in Mathematics. 279. 159–200. 12 indexed citations

Yijing, Sun & Yiming Long. (2015). The planar Orlicz Minkowski problem in the L1-sense. Advances in Mathematics. 281. 1364–1383. 19 indexed citations

Liu, Hui, et al.. (2014). Non-hyperbolic Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R ²ⁿ. Advanced Nonlinear Studies. 14(3). 531–546. 2 indexed citations

Liu, Hui & Yiming Long. (2013). Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Journal of Differential Equations. 255(9). 2952–2980. 7 indexed citations

Long, Yiming, et al.. (2010). The index growth and multiplicity of closed geodesics. Journal of Functional Analysis. 259(7). 1850–1913. 20 indexed citations

Long, Yiming, et al.. (2009). Multiple closed geodesics on 3-spheres. Advances in Mathematics. 221(6). 1757–1803. 28 indexed citations

10.

Long, Yiming & Wei Wang. (2008). Stability of closed geodesics on Finsler 2-spheres. Journal of Functional Analysis. 255(3). 620–641. 12 indexed citations

11.

Long, Yiming & Wei Wang. (2008). Morse Indices of Closed Geodesics on Katok's 2-Spheres. Advanced Nonlinear Studies. 8(3). 569–572. 1 indexed citations

12.

Long, Yiming, et al.. (2006). Multiple closed geodesics on bumpy Finsler n-spheres. Journal of Differential Equations. 233(1). 221–240. 28 indexed citations

13.

Lıu, Chungen & Yiming Long. (2002). Iterated index formulae for closed geodesics with applications. Science China Mathematics. 45(1). 9–28. 27 indexed citations

14.

Long, Yiming. (2002). CENTRAL CONFIGURATIONS AND LINEAR SYSTEMS. 1 indexed citations

15.

Yijing, Sun, Wu Shaoping, & Yiming Long. (2001). Combined Effects of Singular and Superlinear Nonlinearities in Some Singular Boundary Value Problems. Journal of Differential Equations. 176(2). 511–531. 136 indexed citations

16.

Long, Yiming & Shiqing Zhang. (2000). Geometric Characterizations for Variational Minimization Solutions of the 3-Body Problem. 16(4). 579–592.

17.

Long, Yiming. (2000). Precise Iteration Formulae of the Maslov-type Index Theory and Ellipticity of Closed Characteristics. Advances in Mathematics. 154(1). 76–131. 81 indexed citations

18.

Long, Yiming & Shiqing Zhang. (2000). Geometric Characterization for Variational Minimization Solutions of the 3-Body Problem with Fixed Energy. Journal of Differential Equations. 160(2). 422–438. 6 indexed citations

19.

Long, Yiming. (1990). Periodic solutions of perturbed superquadratic hamiltonian systems. Defense Technical Information Center (DTIC). 17(1). 35–77. 19 indexed citations

20.

Long, Yiming. (1989). Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems. Transactions of the American Mathematical Society. 311(2). 749–749. 6 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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