Leonard M. Blumenthal

1.8k total citations · 1 hit paper
15 papers, 753 citations indexed

About

Leonard M. Blumenthal is a scholar working on Geometry and Topology, Computational Mechanics and Computer Graphics and Computer-Aided Design. According to data from OpenAlex, Leonard M. Blumenthal has authored 15 papers receiving a total of 753 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Geometry and Topology, 3 papers in Computational Mechanics and 3 papers in Computer Graphics and Computer-Aided Design. Recurrent topics in Leonard M. Blumenthal's work include Mathematics and Applications (6 papers), Advanced Numerical Analysis Techniques (3 papers) and Computational Geometry and Mesh Generation (3 papers). Leonard M. Blumenthal is often cited by papers focused on Mathematics and Applications (6 papers), Advanced Numerical Analysis Techniques (3 papers) and Computational Geometry and Mesh Generation (3 papers). Leonard M. Blumenthal collaborates with scholars based in United States and Netherlands. Leonard M. Blumenthal's co-authors include Claude Springer, Hans Freudenthal, Karl Menger, Victor Klee, Leo F. Boron, А. В. Погорелов, John Tyrrell, J. G. Semple, Aiden A. Bruen and Ernst Snapper and has published in prestigious journals such as American Mathematical Monthly, Pacific Journal of Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Leonard M. Blumenthal

14 papers receiving 607 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.

Theory and Applications of Distance Geometry

1970 589 citations Leonard M. Blumenthal CERN Document Server (European Organization for Nuclear Research) profile →

Peers

Countries citing papers authored by Leonard M. Blumenthal

Since Specialization

Citations

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

Fields of papers citing papers by Leonard M. Blumenthal

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Leonard M. Blumenthal. 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 Leonard M. Blumenthal. The network helps show where Leonard M. Blumenthal may publish in the future.

Co-authorship network of co-authors of Leonard M. Blumenthal

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

All Works

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15 of 15 papers shown

#	Work	Indexed citations
1	Metric Affine Geometry. 1973 ·American Mathematical Monthly ·Aiden A. Bruen, Ernst Snapper, (unknown), John Tyrrell, J. G. Semple, Leonard M. Blumenthal, Karl Menger	1
2	Studies in Geometry. 1971 ·American Mathematical Monthly ·Hans Freudenthal, Leonard M. Blumenthal, Karl Menger	51
3	Theory and Applications of Distance Geometry breakdown → 1970 ·CERN Document Server (European Organization for Nuclear Research) ·Leonard M. Blumenthal	589
4	Lectures on the Foundations of Geometry. 1967 ·American Mathematical Monthly ·Leonard M. Blumenthal, А. В. Погорелов, Leo F. Boron, (unknown)	4
5	A Modern View of Geometry. 1964 ·American Mathematical Monthly ·Claude Springer, Leonard M. Blumenthal	40
6	Metric characterizations of Banach and Euclidean spaces 1964 ·Fundamenta Mathematicae ·(unknown), Leonard M. Blumenthal	15
7	Boolean Geometry II 1961 ·Rendiconti del Circolo Matematico di Palermo Series 2 ·Leonard M. Blumenthal, (unknown)	11
8	A Budget of Curiosa Metrica 1959 ·American Mathematical Monthly ·Leonard M. Blumenthal	4
9	A Budget of Curiosa Metrica 1959 ·American Mathematical Monthly ·Leonard M. Blumenthal	1
10	Distance geometry of metric arcs II 1958 ·Archiv der Mathematik ·(unknown), Leonard M. Blumenthal	1
11	Distance Geometry of Metric Arcs 1957 ·American Mathematical Monthly ·(unknown), Leonard M. Blumenthal	2
12	Global subsets of the sphere 1956 ·Archiv der Mathematik ·Leonard M. Blumenthal	2
13	On metric independence and linear independence 1955 ·Proceedings of the American Mathematical Society ·Leonard M. Blumenthal, Victor Klee	1
14	An extension of a theorem of Jordan and von Neumann 1955 ·Pacific Journal of Mathematics ·Leonard M. Blumenthal	17
15	Two existence theorems for systems of linear inequalities 1952 ·Pacific Journal of Mathematics ·Leonard M. Blumenthal	14

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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