G. Perelman

1.0k total citations
10 papers, 475 citations indexed

About

G. Perelman is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, G. Perelman has authored 10 papers receiving a total of 475 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Applied Mathematics, 5 papers in Geometry and Topology and 3 papers in Astronomy and Astrophysics. Recurrent topics in G. Perelman's work include Geometric Analysis and Curvature Flows (6 papers), Geometry and complex manifolds (4 papers) and Point processes and geometric inequalities (3 papers). G. Perelman is often cited by papers focused on Geometric Analysis and Curvature Flows (6 papers), Geometry and complex manifolds (4 papers) and Point processes and geometric inequalities (3 papers). G. Perelman collaborates with scholars based in United States, Russia and France. G. Perelman's co-authors include Yu. D. Burago and M. Gromov and has published in prestigious journals such as Journal of Differential Geometry, Journal of the American Mathematical Society and Mathematische Zeitschrift.

In The Last Decade

G. Perelman

7 papers receiving 406 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
G. Perelman United States	5	393	354	157	89	39	10	475
Rugang Ye United States	10	496 1.3×	388 1.1×	107 0.7×	134 1.5×	101 2.6×	18	589
Uwe Abresch Germany	10	699 1.8×	590 1.7×	186 1.2×	149 1.7×	62 1.6×	13	778
Semyon Alesker Israel	17	725 1.8×	381 1.1×	123 0.8×	192 2.2×	51 1.3×	31	797
Quo-Shin Chi United States	11	371 0.9×	315 0.9×	170 1.1×	79 0.9×	12 0.3×	32	441
Gudlaugur Thorbergsson Germany	16	453 1.2×	496 1.4×	208 1.3×	269 3.0×	33 0.8×	43	697
John Douglas Moore United States	9	478 1.2×	373 1.1×	206 1.3×	66 0.7×	48 1.2×	34	580
S.-T. Yau United States	6	442 1.1×	381 1.1×	127 0.8×	170 1.9×	59 1.5×	7	560
Yuri Nikolayevsky Australia	10	226 0.6×	209 0.6×	135 0.9×	51 0.6×	36 0.9×	46	310
Ernst Heintze Germany	15	687 1.7×	583 1.6×	240 1.5×	352 4.0×	88 2.3×	27	908
Takashi Shioya Japan	14	523 1.3×	367 1.0×	127 0.8×	161 1.8×	99 2.5×	38	622

Countries citing papers authored by G. Perelman

Since Specialization

Citations

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

Fields of papers citing papers by G. Perelman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of G. Perelman

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

All Works

Sort: Min cites: Since: Top N: Style:

10 of 10 papers shown

1.

Perelman, G.. (2008). Finite Extinction Time for the Solutions to the Ricci Flow on Certain Three-Manifolds. 1(1). 5–5. 108 indexed citations

2.

Perelman, G.. (1997). Example of a Complete Riemannian Manifold of Positive Ricci Curvature with Euclidean Volume Growth and with Nonunique Asymptotic Cone. Dialnet (Universidad de la Rioja). 165–166.

3.

Perelman, G.. (1995). Widths of nonnegatively curved spaces. Geometric and Functional Analysis. 5(2). 445–463. 3 indexed citations

4.

Perelman, G.. (1995). A diameter sphere theorem for manifolds of positive ricci curvature. Mathematische Zeitschrift. 218(1). 595–596. 11 indexed citations

5.

Perelman, G.. (1994). Manifolds of positive Ricci curvature with almost maximal volume. Journal of the American Mathematical Society. 7(2). 299–305. 53 indexed citations

6.

Perelman, G.. (1994). Proof of the soul conjecture of Cheeger and Gromoll. Journal of Differential Geometry. 40(1). 64 indexed citations

7.

Perelman, G.. (1992). Example of a complete saddle surface in R4 with Gaussian curvature bounded away from zero. Journal of Mathematical Sciences. 59(2). 760–762.

8.

Burago, Yu. D., M. Gromov, & G. Perelman. (1992). A.D. Alexandrov spaces with curvature bounded below. Russian Mathematical Surveys. 47(2). 1–58. 233 indexed citations

9.

Perelman, G.. (1991). Polyhedral saddle surfaces. Journal of Mathematical Sciences. 54(1). 735–740.

10.

Perelman, G.. (1988). k Radii of a convex body. Siberian Mathematical Journal. 28(4). 665–666. 3 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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