G. Perelman

1.1k citations
10 papers · 481 · h-index 5

Impact in

    • Geometry and complex manifolds
    • Geometric and Algebraic Topology
    • Geometric Analysis and Curvature Flows
    • Point processes and geometric inequalities
    • Nonlinear Partial Differential Equations

Papers in

    • Geometric Analysis and Curvature Flows 6
    • Point processes and geometric inequalities 3
    • Geometry and complex manifolds 4
    • Advanced Differential Equations and Dynamical Systems 1

G. Perelman

7 papers receiving 413 citations

Peers

G. Perelman
Comparison fields: 5 of 36
  • Geometry and Topology 356
  • Applied Mathematics 399
  • Mathematical Physics 90
  • Astronomy and Astrophysics 158
  • Computer Graphics and Computer-Aided Design 15
Replace Uwe Abresch with:
Uwe Abresch Germany
Gudlaugur Thorbergsson Germany
Rugang Ye United States
Quo-Shin Chi United States
John Douglas Moore United States
Dirk Ferus Germany
Ernst Heintze Germany
Takashi Shioya Japan
Yuri Nikolayevsky Australia
Ivan Sterling United States
G. Perelman relative to Uwe Abresch Germany Uwe Abresch's profile →
Citations per field
00.5×1.5×1.9×
Uwe Abresch · 1×
Citations per year

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-authors

The 2 scholars most cited alongside G. Perelman, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with G. Perelman Line = papers co-authored together G. Perelman links everyone, so they are left out of the graph.

All Works

10 of 10 papers shown
#Work
1 1992235
2 2008111
3 199464
4 199453
5 199511
6 19874
7 19953
8
Example of a Complete Riemannian Manifold of Positive Ricci Curvature with Euclidean Volume Growth and with Nonunique Asymptotic Cone
19970
9 19920
10 19910

About G. Perelman

G. Perelman is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Computational Mechanics and Computational Theory and Mathematics, having authored 10 papers that have together received 481 indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (6 papers), Geometry and complex manifolds (4 papers), Point processes and geometric inequalities (3 papers), Advanced Differential Geometry Research (3 papers), Advanced Mathematical Modeling in Engineering (2 papers), Advanced Numerical Analysis Techniques (2 papers), advanced mathematical theories (1 paper) and Advanced Differential Equations and Dynamical Systems (1 paper). The work is most often cited by research in Geometry and Topology (356 citations), Applied Mathematics (399 citations), Mathematical Physics (90 citations), Astronomy and Astrophysics (158 citations) and Computer Graphics and Computer-Aided Design (15 citations). G. Perelman has collaborated with scholars based in United States, Russia and France. Frequent co-authors include Yu. D. Burago and M. Gromov. Their work appears in journals such as Siberian Mathematical Journal, Russian Mathematical Surveys, Mathematische Zeitschrift, Geometric and Functional Analysis and Journal of the American Mathematical Society.

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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