Richard S. Palais

7.7k total citations · 2 hit papers
64 papers, 4.4k citations indexed

About

Richard S. Palais is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Richard S. Palais has authored 64 papers receiving a total of 4.4k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Geometry and Topology, 23 papers in Mathematical Physics and 17 papers in Applied Mathematics. Recurrent topics in Richard S. Palais's work include Geometric Analysis and Curvature Flows (13 papers), Homotopy and Cohomology in Algebraic Topology (12 papers) and Advanced Topics in Algebra (11 papers). Richard S. Palais is often cited by papers focused on Geometric Analysis and Curvature Flows (13 papers), Homotopy and Cohomology in Algebraic Topology (12 papers) and Advanced Topics in Algebra (11 papers). Richard S. Palais collaborates with scholars based in United States, Canada and Vietnam. Richard S. Palais's co-authors include F. E. J. Linton, Chuu-liang Terng, Chuu-Lian Terng, Stephen T. Smale, Thomas E. Stewart, Andrew M. Gleason, Ernst Heintze, Roy L. Adler, Gudlaugur Thorbergsson and Wu-Yi Hsiang and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Richard S. Palais

60 papers receiving 3.3k citations

Hit Papers

The principle of symmetric criticality 1961 2026 1982 2004 1979 1961 100 200 300 400 500
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.

  1. The principle of symmetric criticality
    1979 593 citations Richard S. Palais profile →
  2. On the Existence of Slices for Actions of Non-Compact Lie Groups
    1961 320 citations Richard S. Palais profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Richard S. Palais United States 28 2.0k 2.0k 1.9k 851 614 64 4.4k
F. W. Warner United States 14 1.6k 0.8× 840 0.4× 934 0.5× 717 0.8× 399 0.6× 20 2.7k
Shlomo Sternberg United States 26 691 0.3× 1.7k 0.9× 1.6k 0.9× 299 0.4× 392 0.6× 70 3.9k
Shing Tung Yau United States 26 2.8k 1.4× 1.3k 0.6× 2.2k 1.1× 815 1.0× 835 1.4× 62 4.9k
Jürgen Moser Switzerland 32 3.0k 1.5× 2.3k 1.2× 2.0k 1.0× 1.5k 1.8× 646 1.1× 51 7.0k
James Eells United Kingdom 25 1.9k 1.0× 885 0.5× 1.8k 0.9× 496 0.6× 612 1.0× 61 3.0k
F. E. J. Linton United States 13 1.2k 0.6× 2.6k 1.3× 2.0k 1.0× 750 0.9× 130 0.2× 20 4.5k
V. S. Varadarajan United States 23 734 0.4× 1.8k 0.9× 1.2k 0.6× 690 0.8× 151 0.2× 81 3.5k
Lars V. Ahlfors United States 24 2.8k 1.4× 1.6k 0.8× 2.9k 1.5× 750 0.9× 96 0.2× 49 5.2k
S. Sternberg United States 14 654 0.3× 1.5k 0.8× 1.6k 0.9× 213 0.3× 277 0.5× 25 3.1k
Dennis Sullivan France 37 1.9k 0.9× 4.1k 2.1× 4.1k 2.1× 498 0.6× 162 0.3× 80 5.7k

Countries citing papers authored by Richard S. Palais

Since Specialization
Citations

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

Fields of papers citing papers by Richard S. Palais

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard S. Palais. 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 Richard S. Palais. The network helps show where Richard S. Palais may publish in the future.

Co-authorship network of co-authors of Richard S. Palais

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

All Works

20 of 20 papers shown
1.
Palais, Richard S., et al.. (2009). A Disorienting Look at Euler's Theorem on the Axis of a Rotation. American Mathematical Monthly. 116(10). 892–909. 30 indexed citations
2.
Palais, Richard S.. (1999). The Visualization of Mathematics: Towards a Mathematical Exploratorium. Notices of the American Mathematical Society. 46(6). 647–658. 20 indexed citations
3.
Palais, Richard S. & Chuu-liang Terng. (1988). Critical Point Theory and Submanifold Geometry. Lecture notes in mathematics. 231 indexed citations
4.
Palais, Richard S. & Chuu-Lian Terng. (1987). A General Theory of Canonical Forms. Transactions of the American Mathematical Society. 300(2). 771–771. 30 indexed citations
5.
Palais, Richard S. & Chuu-Lian Terng. (1987). A general theory of canonical forms. Transactions of the American Mathematical Society. 300(2). 771–771. 80 indexed citations
6.
Palais, Richard S. & Chuu-Lian Terng. (1986). Reduction of variables for minimal submanifolds. Proceedings of the American Mathematical Society. 98(3). 480–484. 3 indexed citations
7.
Palais, Richard S.. (1968). Foundations of global non-linear analysis. CERN Document Server (European Organization for Nuclear Research). 304 indexed citations
8.
Palais, Richard S.. (1966). Homotopy theory of infinite dimensional manifolds. Topology. 5(1). 1–16. 253 indexed citations
9.
Adler, Roy L. & Richard S. Palais. (1965). Homeomorphic conjugacy of automorphisms on the torus. Proceedings of the American Mathematical Society. 16(6). 1222–1225. 25 indexed citations
10.
Palais, Richard S., et al.. (1965). Lectures on the differential topology of infinite dimensional manifolds : Mathematics 322, Brandeis University, 1964-1965. Medical Entomology and Zoology. 2 indexed citations
11.
Palais, Richard S.. (1961). Logarithmically exact differential forms. Proceedings of the American Mathematical Society. 12(1). 50–52. 3 indexed citations
12.
Palais, Richard S. & Thomas E. Stewart. (1961). Torus Bundles Over a Torus. Proceedings of the American Mathematical Society. 12(1). 26–26. 1 indexed citations
13.
Palais, Richard S. & Thomas E. Stewart. (1961). Torus bundles over a torus. Proceedings of the American Mathematical Society. 12(1). 26–29. 20 indexed citations
14.
Palais, Richard S.. (1960). The classification of G-spaces. American Mathematical Society eBooks. 150 indexed citations
15.
Palais, Richard S.. (1960). Extending diffeomorphisms. Proceedings of the American Mathematical Society. 11(2). 274–277. 21 indexed citations
16.
Palais, Richard S.. (1959). Natural operations on differential forms. Transactions of the American Mathematical Society. 92(1). 125–141. 128 indexed citations
17.
Palais, Richard S.. (1959). Natural Operations on Differential Forms. Transactions of the American Mathematical Society. 92(1). 125–125. 34 indexed citations
18.
Palais, Richard S.. (1957). On the Differentiability of Isometries. Proceedings of the American Mathematical Society. 8(4). 805–805. 7 indexed citations
19.
Palais, Richard S.. (1957). On the differentiability of isometries. Proceedings of the American Mathematical Society. 8(4). 805–807. 21 indexed citations
20.
Palais, Richard S.. (1954). A definition of the exterior derivative in terms of Lie derivatives. Proceedings of the American Mathematical Society. 5(6). 902–908. 13 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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