Werner Fenchel

2.6k total citations · 1 hit paper
8 papers, 685 citations indexed

About

Werner Fenchel is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Werner Fenchel has authored 8 papers receiving a total of 685 indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Geometry and Topology, 2 papers in Computational Theory and Mathematics and 2 papers in Applied Mathematics. Recurrent topics in Werner Fenchel's work include Mathematics and Applications (3 papers), Geometric and Algebraic Topology (1 paper) and Point processes and geometric inequalities (1 paper). Werner Fenchel is often cited by papers focused on Mathematics and Applications (3 papers), Geometric and Algebraic Topology (1 paper) and Point processes and geometric inequalities (1 paper). Werner Fenchel collaborates with scholars based in . Werner Fenchel's co-authors include Leo F. Boron, Brian J. Smith and Jakob Lindberg Nielsen and has published in prestigious journals such as Acta Mathematica, Bulletin of the American Mathematical Society and Mathematische Zeitschrift.

In The Last Decade

Werner Fenchel

8 papers receiving 534 citations

Hit Papers

align trajectories

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.

Convex cones, sets, and functions

1953 296 citations Werner Fenchel profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Werner Fenchel	6	275	227	191	111	106	8	685
G. Baley Price United States	5	175 0.6×	253 1.1×	260 1.4×	300 2.7×	70 0.7×	11	724
A. M. Bruckner United States	17	374 1.4×	430 1.9×	250 1.3×	470 4.2×	49 0.5×	77	1.2k
Arne Brøndsted Denmark	10	245 0.9×	269 1.2×	426 2.2×	143 1.3×	155 1.5×	16	828
John L. Kelley United States	8	214 0.8×	288 1.3×	292 1.5×	415 3.7×	67 0.6×	17	873
B. J. Pettis United States	6	175 0.6×	278 1.2×	261 1.4×	316 2.8×	62 0.6×	9	722
Diethard Pallaschke Germany	14	209 0.8×	145 0.6×	448 2.3×	146 1.3×	233 2.2×	58	695
Kôsaku Yosida Japan	13	307 1.1×	78 0.3×	250 1.3×	409 3.7×	86 0.8×	41	877
Bernard R. Gelbaum United States	15	296 1.1×	250 1.1×	206 1.1×	437 3.9×	80 0.8×	39	953
Edgar Asplund United States	14	288 1.0×	248 1.1×	506 2.6×	327 2.9×	125 1.2×	22	769
Antoni Zygmund United States	6	291 1.1×	61 0.3×	108 0.6×	157 1.4×	60 0.6×	11	669

Countries citing papers authored by Werner Fenchel

Since Specialization

Citations

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

Fields of papers citing papers by Werner Fenchel

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Werner Fenchel

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

All Works

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8 of 8 papers shown

1.

Fenchel, Werner & Jakob Lindberg Nielsen. (2002). Discontinuous Groups of Isometries in the Hyperbolic Plane. 18 indexed citations

2.

Fenchel, Werner. (1989). Elementary Geometry in Hyperbolic Space. 113 indexed citations

3.

Fenchel, Werner, et al.. (1988). Theory of Convex Bodies. Medical Entomology and Zoology. 156 indexed citations

4.

Fenchel, Werner. (1960). Jakob Nielsen in memoriam. Acta Mathematica. 103(3-4). IV–XIX. 3 indexed citations

5.

Fenchel, Werner. (1955). �ber konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten. Mathematische Zeitschrift. 63(1). 496–506. 24 indexed citations

6.

Fenchel, Werner. (1954). K. YANO and S. BOCHNER: Curvature and Betti numbers. MATHEMATICA SCANDINAVICA. 2. 171–173. 2 indexed citations

7.

Fenchel, Werner. (1953). Convex cones, sets, and functions. 296 indexed citations breakdown →

8.

Fenchel, Werner. (1951). On the differential geometry of closed space curves. Bulletin of the American Mathematical Society. 57(1). 44–54. 73 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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