Leo Sario

2.1k total citations · 1 hit paper
105 papers, 1.6k citations indexed

About

Leo Sario is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Leo Sario has authored 105 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Applied Mathematics, 35 papers in Geometry and Topology and 35 papers in Computational Theory and Mathematics. Recurrent topics in Leo Sario's work include Advanced Mathematical Modeling in Engineering (27 papers), Geometric Analysis and Curvature Flows (22 papers) and Analytic and geometric function theory (19 papers). Leo Sario is often cited by papers focused on Advanced Mathematical Modeling in Engineering (27 papers), Geometric Analysis and Curvature Flows (22 papers) and Analytic and geometric function theory (19 papers). Leo Sario collaborates with scholars based in United States, Japan and Canada. Leo Sario's co-authors include Mitsuru Nakai, Lars V. Ahlfors, Cecilia Wang, Burton Rodin, Moses Glasner, Youngjin Kwon, M. Schiffer, Young Koan Kwon, James Ralston and Noriko Fukuda and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Leo Sario

94 papers receiving 807 citations

Hit Papers

Riemann Surfaces 1960 2026 1982 2004 1960 100 200 300
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. Riemann Surfaces
    1960 341 citations Lars V. Ahlfors, Leo Sario Princeton University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Leo Sario United States 19 859 720 506 441 117 105 1.6k
Mitsuru Nakai Japan 18 658 0.8× 427 0.6× 455 0.9× 359 0.8× 104 0.9× 155 1.1k
L. Boutet de Monvel France 17 938 1.1× 506 0.7× 919 1.8× 307 0.7× 172 1.5× 44 1.5k
Louis de Branges United States 20 1.4k 1.6× 666 0.9× 760 1.5× 363 0.8× 196 1.7× 77 1.9k
Stefan Bergman United States 13 580 0.7× 247 0.3× 224 0.4× 193 0.4× 62 0.5× 51 1.0k
Józef Dodziuk United States 15 353 0.4× 498 0.7× 484 1.0× 287 0.7× 59 0.5× 28 941
Edward Fadell United States 20 419 0.5× 676 0.9× 646 1.3× 323 0.7× 203 1.7× 47 1.3k
Dieter Gaier Germany 16 738 0.9× 437 0.6× 201 0.4× 219 0.5× 50 0.4× 63 1.2k
Erhard Heinz Germany 17 835 1.0× 445 0.6× 198 0.4× 285 0.6× 23 0.2× 37 1.0k
Gennadi M. Henkin France 18 716 0.8× 432 0.6× 360 0.7× 147 0.3× 54 0.5× 48 963
Kjell‐Ove Widman Sweden 11 806 0.9× 202 0.3× 309 0.6× 553 1.3× 7 0.1× 17 970

Countries citing papers authored by Leo Sario

Since Specialization
Citations

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

Fields of papers citing papers by Leo Sario

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leo Sario

This figure shows the co-authorship network connecting the top 25 collaborators of Leo Sario. A scholar is included among the top collaborators of Leo Sario 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 Leo Sario. Leo Sario 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.
Sario, Leo. (1977). Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions. Springer eBooks. 3 indexed citations
2.
Sario, Leo, et al.. (1975). Harmonic L P Functions and Quasiharmonic Degeneracy. Journal of the Indian Mathematical Society. 39. 21–28. 2 indexed citations
3.
Sario, Leo, et al.. (1975). Quasiharmonic $L^p$-functions on riemannian manifolds. French digital mathematics library (Numdam). 2(3). 469–478. 3 indexed citations
4.
Sario, Leo & Cecilia Wang. (1974). Parabolicity and Existence of Dirichlet Finite Biharmonic Functions. Journal of the London Mathematical Society. s2-8(1). 145–148. 7 indexed citations
5.
Sario, Leo, et al.. (1973). Riemannian manifolds with bounded Dirichlet finite polyharmonic functions. French digital mathematics library (Numdam). 4 indexed citations
6.
Sario, Leo, et al.. (1973). Dirichlet finite biharmonic functions on the Poincaré 𝑁-ball. Bulletin of the American Mathematical Society. 79(5). 914–915. 2 indexed citations
7.
Sario, Leo & Cecilia Wang. (1973). Harmonic and biharmonic degeneracy. Kodai Mathematical Journal. 25(4). 7 indexed citations
8.
Kwon, Young Koan & Leo Sario. (1971). Harmonic Functions on Subregion of a Riemannian Manifold. Journal of the Indian Mathematical Society. 35. 135–161. 3 indexed citations
9.
Nakai, Mitsuru & Leo Sario. (1970). A new operator for elliptic equations, and theP-compactification for ?u=Pu. Mathematische Annalen. 189(4). 242–256. 6 indexed citations
10.
Sario, Leo & Mitsuru Nakai. (1968). Point norms in the construction of harmonic forms. Pacific Journal of Mathematics. 25(2). 325–329. 4 indexed citations
11.
Sario, Leo, et al.. (1966). Gaussian mapping of arbitrary minimal surfaces. Journal d Analyse Mathématique. 17(1). 209–217. 2 indexed citations
12.
Sario, Leo, et al.. (1965). Normal Operators and Uniformly Elliptic Self-Adjoint Partial Differential Equations. Transactions of the American Mathematical Society. 120(2). 225–225. 2 indexed citations
13.
Sario, Leo, et al.. (1965). Normal operators and uniformly elliptic self-adjoint partial differential equations. Transactions of the American Mathematical Society. 120(2). 225–225. 11 indexed citations
14.
Sario, Leo. (1963). Islands and Peninsulas on Arbitrary Riemann Surfaces. Transactions of the American Mathematical Society. 106(3). 521–521. 1 indexed citations
15.
Ahlfors, Lars V. & Leo Sario. (1960). Riemann Surfaces. Princeton University Press eBooks. 341 indexed citations breakdown →
16.
Sario, Leo. (1953). Minimizing operators on subregions. Proceedings of the American Mathematical Society. 4(3). 350–355. 6 indexed citations
17.
Sario, Leo. (1952). An Extremal Method on Arbitrary Riemann Surfaces. Transactions of the American Mathematical Society. 73(3). 459–459. 9 indexed citations
18.
Sario, Leo. (1952). An extremal method on arbitrary Riemann surfaces. Transactions of the American Mathematical Society. 73(3). 459–470. 20 indexed citations
19.
Sario, Leo. (1952). A Linear Operator Method on Arbitrary Riemann Surfaces. Transactions of the American Mathematical Society. 72(2). 281–281. 31 indexed citations
20.
Sario, Leo. (1952). A linear operator method on arbitrary Riemann surfaces. Transactions of the American Mathematical Society. 72(2). 281–295. 45 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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