Barrett O’Neill

6.0k total citations · 3 hit papers
24 papers, 3.2k citations indexed

About

Barrett O’Neill is a scholar working on Computational Mechanics, Applied Mathematics and Astronomy and Astrophysics. According to data from OpenAlex, Barrett O’Neill has authored 24 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Computational Mechanics, 8 papers in Applied Mathematics and 5 papers in Astronomy and Astrophysics. Recurrent topics in Barrett O’Neill's work include Advanced Numerical Analysis Techniques (7 papers), Geometric Analysis and Curvature Flows (6 papers) and Advanced Differential Geometry Research (4 papers). Barrett O’Neill is often cited by papers focused on Advanced Numerical Analysis Techniques (7 papers), Geometric Analysis and Curvature Flows (6 papers) and Advanced Differential Geometry Research (4 papers). Barrett O’Neill collaborates with scholars based in United States. Barrett O’Neill's co-authors include Richard L. Bishop, Patrick Eberlein, Samuel I. Goldberg, E. G. Straus and John Wermer and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Barrett O’Neill

20 papers receiving 2.5k 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.

Semi-Riemannian Geometry With Applications to Relativity

2011 829 citations Barrett O’Neill CERN Document Server (European Organization for Nuclear Research) profile →
The fundamental equations of a submersion.

1966 788 citations Barrett O’Neill The Michigan Mathematical Journal profile →
Manifolds of negative curvature

1969 659 citations Richard L. Bishop, Barrett O’Neill Transactions of the American Mathematical Society profile →

Peers

Countries citing papers authored by Barrett O’Neill

Since Specialization

Citations

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

Fields of papers citing papers by Barrett O’Neill

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Barrett O’Neill. 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 Barrett O’Neill. The network helps show where Barrett O’Neill may publish in the future.

Co-authorship network of co-authors of Barrett O’Neill

This figure shows the co-authorship network connecting the top 25 collaborators of Barrett O’Neill. A scholar is included among the top collaborators of Barrett O’Neill 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 Barrett O’Neill. Barrett O’Neill 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:

20 of 20 papers shown

#	Work	Indexed citations
1	Semi-Riemannian Geometry With Applications to Relativity breakdown → 2011 ·CERN Document Server (European Organization for Nuclear Research) ·Barrett O’Neill	829
2	Visibility manifolds 1973 ·Pacific Journal of Mathematics ·Patrick Eberlein, Barrett O’Neill	240
3	Manifolds of negative curvature breakdown → 1969 ·Transactions of the American Mathematical Society ·Richard L. Bishop, Barrett O’Neill	659
4	Tensor Analysis on Manifolds. 1969 ·American Mathematical Monthly ·Barrett O’Neill, Richard L. Bishop, Samuel I. Goldberg	120
5	Construction of Riemannian coverings 1968 ·Proceedings of the American Mathematical Society ·Barrett O’Neill	2
6	Parts as Finite-Sheeted Coverings of the Disk 1968 ·American Journal of Mathematics ·Barrett O’Neill, John Wermer	0
7	Parts and One-Dimensional Analytic Spaces 1968 ·American Journal of Mathematics ·Barrett O’Neill	2
8	Submersions and geodesics 1967 ·Duke Mathematical Journal ·Barrett O’Neill	42
9	The fundamental equations of a submersion. breakdown → 1966 ·The Michigan Mathematical Journal ·Barrett O’Neill	788
10	Isotropic and Kähler Immersions 1965 ·Canadian Journal of Mathematics ·Barrett O’Neill	90
11	Umbilics of constant curvature immersions 1965 ·Duke Mathematical Journal ·Barrett O’Neill	24
12	Isometric immersions of constant curvature manifolds. 1963 ·The Michigan Mathematical Journal ·Barrett O’Neill, (unknown)	39
13	Isometric immersions which preserve curvature operators 1962 ·Proceedings of the American Mathematical Society ·Barrett O’Neill	8
14	Isometric Immersions which Preserve Curvature Operators 1962 ·Proceedings of the American Mathematical Society ·Barrett O’Neill	10
15	Isometric immersion of flat Riemannian manifolds in Euclidean space. 1962 ·The Michigan Mathematical Journal ·Barrett O’Neill	20
16	Immersion of Manifolds of Nonpositive Curvature 1960 ·Proceedings of the American Mathematical Society ·Barrett O’Neill	11
17	An algebraic criterion for immersion 1959 ·Pacific Journal of Mathematics ·Barrett O’Neill	26
18	Induced homology homomorphisms for set-valued maps 1957 ·Pacific Journal of Mathematics ·Barrett O’Neill	31
19	A fixed point theorem for multi-valued functions 1957 ·Duke Mathematical Journal ·Barrett O’Neill	10
20	Essential Sets and Fixed Points 1953 ·American Journal of Mathematics ·Barrett O’Neill	48

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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