Werner Ballmann

3.1k citations
60 papers · 2k · 1 hit paper · h-index 21

Impact in

    • Geometric and Algebraic Topology
    • Geometry and complex manifolds
    • Mathematical Dynamics and Fractals
    • Advanced Algebra and Geometry
    • Spectral Theory in Mathematical Physics
    • Advanced Operator Algebra Research

Papers in

Werner Ballmann

52 papers receiving 1.7k citations

Werner Ballmann's Hit Papers

Manifolds of Nonpositive Curvature 1985 · 549 citations
5490+13+27Years since publication100200300400500

Peers

Werner Ballmann
Comparison fields: 5 of 30
  • Geometry and Topology 1k
  • Mathematical Physics 894
  • Applied Mathematics 929
  • Astronomy and Astrophysics 447
  • Discrete Mathematics and Combinatorics 49
Replace Thomas Schick with:
Thomas Schick Germany
Peter Scott United States
Kenji Fukaya Japan
Ichirō Satake Japan
Viktor L. Ginzburg United States
Tadashi Nagano Japan
Nigel Higson United States
Hajime Urakawa Japan
Josef F. Dorfmeister Germany
Charles Benedict Thomas United Kingdom
Werner Ballmann relative to Thomas Schick Germany Thomas Schick's profile →
Citations per field
00.5×2×3×4.2×
Thomas Schick · 1×
Citations per year

Countries citing papers authored by Werner Ballmann

Since Specialization
Citations

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

Fields of papers citing papers by Werner Ballmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 19 scholars most cited alongside Werner Ballmann, 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 Werner Ballmann Line = papers co-authored together Werner Ballmann links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 60 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Manifolds of Nonpositive Curvature
Hit paper breakdown →
1985549
2 1995352
3 1985101
4 199780
5 198579
6 199577
7 200659
8 198258
9 198252
10 198346
11
BOUNDARY VALUE PROBLEMS FOR ELLIPTIC DIFFERENTIAL OPERATORS OF FIRST ORDER
201142
12 198541
13 199439
14 198737
15 198936
16 199832
17 198731
18 198129
19 199025
20 199425

About Werner Ballmann

Werner Ballmann is a scholar working on Applied Mathematics, Geometry and Topology, Mathematical Physics, Astronomy and Astrophysics and Nuclear Energy and Engineering, having authored 60 papers that have together received 2k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (37 papers), Geometric and Algebraic Topology (29 papers), Advanced Differential Geometry Research (27 papers), Spectral Theory in Mathematical Physics (18 papers), Mathematical Dynamics and Fractals (6 papers), Advanced Operator Algebra Research (4 papers), Advanced Algebra and Geometry (4 papers) and Differential Equations and Boundary Problems (2 papers). The work is most often cited by research in Geometry and Topology (1k citations), Mathematical Physics (894 citations), Applied Mathematics (929 citations), Astronomy and Astrophysics (447 citations) and Discrete Mathematics and Combinatorics (49 citations). Werner Ballmann has collaborated with scholars based in Germany, United States and Switzerland. Frequent co-authors include Viktor Schroeder, Mikhael Gromov, Michael Brin, Wolfgang Ziller, Gudlaugur Thorbergsson, Patrick Eberlein, Jacek Świątkowski, Christian Bär, Keith Burns and Scot Adams. Their work appears in journals such as Progress in mathematics, Journal of Differential Geometry, Annals of Mathematics, Mathematische Zeitschrift and Duke Mathematical Journal.

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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