Most cited papers in Geometric Analysis and Curvature Flows
What are the most cited papers in Geometric Analysis and Curvature Flows?
The most cited paper in Geometric Analysis and Curvature Flows is "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations" (Stanley Osher, James A. Sethian, 1988), with 14,114 citations. Next come "Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística" (2,563) and "On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I" (2,475).
Showing 50 of 99 papers. Every paper with more than 494 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics | Nov 1988 | 14,114 |
| 2 | Análisis Comparativo y Refutación Determinista de la Incertidumbre Cuántica Óptica de Fluidos en la Variedad RP3 vs. Ortodoxia Probabilística Perelman, Grisha · arXiv (Cornell University) | 11 Nov 2002 | 2,563 |
| 3 | On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I Shing–Tung Yau · Communications on Pure and Applied Mathematics | May 1978 | 2,475 |
| 4 | On the variational principle Ivar Ekeland · Journal of Mathematical Analysis and Applications | Aug 1974 | 2,353 |
| 5 | Spectral asymmetry and Riemannian Geometry. I Michael Francis Atiyah, V. K. Patodi, I. M. Singer · Mathematical Proceedings of the Cambridge Philosophical Society | 1975 | 2,098 |
| 6 | Pseudo holomorphic curves in symplectic manifolds Mikhail Leonidovich Gromov · Inventiones mathematicae | Jun 1985 | 2,092 |
| 7 | The Self-Duality Equations on a Riemann Surface Nigel James Hitchin · Proceedings of the London Mathematical Society | Jul 1987 | 1,788 |
| 8 | Polar factorization and monotone rearrangement of vector‐valued functions Yann Brenier · Communications on Pure and Applied Mathematics | Jun 1991 | 1,719 |
| 9 | A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem Jean‐David Benamou, Yann Brenier · Numerische Mathematik | 2000 | 1,694 |
| 10 | THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION Félix Otto · Communications in Partial Differential Equations | 31 Jan 2001 | 1,567 |
| 11 | On the parabolic kernel of the Schrödinger operator Peter Li, Shing Tung Yau · Acta Mathematica | 1986 | 1,566 |
| 12 | Curvatures of left invariant metrics on lie groups John Milnor · Advances in Mathematics | Sep 1976 | 1,323 |
| 13 | Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation Élliott H. Lieb · Studies in Applied Mathematics | Oct 1977 | 1,306 |
| 14 | Ricci curvature for metric-measure spaces via optimal transport John A. Lott, Cédric Villani · Annals of Mathematics | 22 Apr 2009 | 1,304 |
| 15 | Computing Discrete Minimal Surfaces and Their Conjugates Ulrich Pinkall, Konrad Polthier · Experimental Mathematics | 1993 | 1,292 |
| 16 | On the geometry of metric measure spaces. II Karl‐Theodor Sturm · Acta Mathematica | 2006 | 1,258 |
| 17 | Harmonic functions on complete riemannian manifolds Shing‐Tung Yau · Communications on Pure and Applied Mathematics | Mar 1975 | 1,249 |
| 18 | Flow by mean curvature of convex surfaces into spheres Gerhard Huisken · Journal of Differential Geometry | 1984 | 1,227 |
| 19 | Motion of level sets by mean curvature. I L. C. Evans, Joel Spruck · Journal of Differential Geometry | 1991 | 1,220 |
| 20 | The Yamabe problem John Michael Lee, Thomas H. Parker · Bulletin of the American Mathematical Society | 1987 | 1,186 |
| 21 | Generalized gradients and applications Frank H. Clarke · Transactions of the American Mathematical Society | 1975 | 1,180 |
| 22 | Singular hypersurfaces and thin shells in general relativity W. Israel · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B | Apr 1967 | 1,154 |
| 23 | Random Fields and Geometry Robert J. Adler, Jonathan Taylor | 12 Jun 2007 | 1,122 |
| 24 | Some mathematical questions related to the mhd equations Michel Sermange, Roger Témam · Communications on Pure and Applied Mathematics | Sep 1983 | 1,102 |
| 25 | The principle of symmetric criticality Richard S. Palais · Communications in Mathematical Physics | Oct 1979 | 1,102 |
| 26 | Real hypersurfaces in complex manifolds Shiing-Shen Chern, Jürgen Moser · Acta Mathematica | 1974 | 1,060 |
| 27 | R-Torsion and the Laplacian on Riemannian manifolds Daniel Ray, I. M. Singer · Advances in Mathematics | Oct 1971 | 1,049 |
| 28 | Mirror Symmetry is T-Duality Andrew Strominger, Shing-tung Yau, Eric Zaslow | 1996 | 1,047 |
| 29 | Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques Jean-Pierre Serre · Inventiones mathematicae | Dec 1971 | 1,006 |
| 30 | Asymptotic behavior for singularities of the mean curvature flow Gerhard Huisken · Journal of Differential Geometry | 1990 | 989 |
| 31 | Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality Félix Otto, Cédric Villani · Journal of Functional Analysis | Jun 2000 | 979 |
| 32 | A new capacity for plurisubharmonic functions Eric Bedford, B. A. Taylor · Acta Mathematica | 1982 | 964 |
| 33 | On the existence of hermitian-yang-mills connections in stable vector bundles Karen Uhlenbeck, Shing–Tung Yau · Communications on Pure and Applied Mathematics | 1986 | 952 |
| 34 | Quasiconformal maps in metric spaces with controlled geometry Juha Heinonen, Pekka Koskela · Acta Mathematica | 1998 | 942 |
| 35 | On the structure of spaces with Ricci curvature bounded below. I Jeff Cheeger, Tobias Colding · Journal of Differential Geometry | 1997 | 928 |
| 36 | The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian Luis A. Caffarelli, Louis Nirenberg, Joel Spruck · Acta Mathematica | 1985 | 898 |
| 37 | Foliations and the topology of 3-manifolds David Gabai · Journal of Differential Geometry | 1983 | 898 |
| 38 | Kähler-Einstein metrics with positive scalar curvature Gang Tian · Inventiones mathematicae | 3 Sep 1997 | 880 |
| 39 | Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds Alexander Asaturovich Grigor'yan · Bulletin of the American Mathematical Society | 19 Feb 1999 | 877 |
| 40 | The geometry of optimal transportation Wilfrid Gangbo, Robert J. McCann · Acta Mathematica | 1996 | 871 |
| 41 | Empty-Space Generalization of the Schwarzschild Metric Ezra Ted Newman, Louis A. Tamburino, Theodore W. J. Unti · Journal of Mathematical Physics | Jul 1963 | 867 |
| 42 | Statistical Aspects of Wasserstein Distances Victor M. Panaretos, Yoav Zemel · Annual Review of Statistics and Its Application | 2 Nov 2018 | 860 |
| 43 | On the geometry of metric measure spaces Karl‐Theodor Sturm · Acta Mathematica | 2006 | 844 |
| 44 | Le Spectre D'une Variété Riemannienne Marcel Cedric Berger, Paul Gauduchon, Edmond Mazet · Lecture notes in mathematics | 1971 | 818 |
| 45 | Calabi's conjecture and some new results in algebraic geometry Shing–Tung Yau · Proceedings of the National Academy of Sciences | May 1977 | 805 |
| 46 | The sixteen classes of almost Hermitian manifolds and their linear invariants Alfred Gray, Luis Hervella · Annali di Matematica Pura ed Applicata (1923 -) | Dec 1980 | 800 |
| 47 | A contribution to the great Riemann solver debate James J. Quirk · International Journal for Numerical Methods in Fluids | 30 Mar 1994 | 794 |
| 48 | Barycenters in the Wasserstein Space Martial Agueh, Guillaume Carlier · SIAM Journal on Mathematical Analysis | 2011 | 789 |
| 49 | The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality Gerhard Huisken, Tom Ilmanen · Journal of Differential Geometry | Nov 2001 | 769 |
| 50 | Ricci curvature of Markov chains on metric spaces Yann Ollivier · Journal of Functional Analysis | 29 Nov 2008 | 764 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.