Most cited papers in Advanced Differential Geometry Research
What are the most cited papers in Advanced Differential Geometry Research?
The most cited paper in Advanced Differential Geometry Research is "LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS" (William Beecher Scoville, Brenda Atkinson Milner, 1957), with 7,447 citations. Next come "f ( R ) theories of gravity" (4,584) and "Second-order scalar-tensor field equations in a four-dimensional space" (2,780).
Showing 50 of 100 papers. Every paper with more than 437 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS William Beecher Scoville, Brenda Atkinson Milner · Journal of Neurology Neurosurgery & Psychiatry | Feb 1957 | 7,447 |
| 2 | f ( R ) theories of gravity Thomas P. Sotiriou, Valerio Faraoni · Reviews of Modern Physics | Mar 2010 | 4,584 |
| 3 | Second-order scalar-tensor field equations in a four-dimensional space Gregory W. Horndeski · International Journal of Theoretical Physics | Sep 1974 | 2,780 |
| 4 | An Approach to Gravitational Radiation by a Method of Spin Coefficients Ezra Ted Newman, Roger Penrose · Journal of Mathematical Physics | May 1962 | 2,743 |
| 5 | 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 |
| 6 | The singularities of gravitational collapse and cosmology Stephen William Hawking, Roger Penrose · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 27 Jan 1970 | 2,129 |
| 7 | Various generalizations of metric spaces and fixed point theorems Tran Van An, Nguyen Van Dũng, Zoran Kadelburg et al. · Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas | 12 Jun 2014 | 1,588 |
| 8 | f ( T ) teleparallel gravity and cosmology Yi-Fu Cai, Salvatore Capozzıello, Mariafelicia De Laurentis et al. · Reports on Progress in Physics | 7 Sep 2016 | 1,521 |
| 9 | General relativity without coordinates T. Regge · Il Nuovo Cimento | Feb 1961 | 1,504 |
| 10 | CURVATURE QUINTESSENCE Salvatore Capozzıello · International Journal of Modern Physics D | Apr 2002 | 1,390 |
| 11 | Curvatures of left invariant metrics on lie groups John Milnor · Advances in Mathematics | Sep 1976 | 1,323 |
| 12 | Ricci curvature for metric-measure spaces via optimal transport John A. Lott, Cédric Villani · Annals of Mathematics | 22 Apr 2009 | 1,304 |
| 13 | Harmonic functions on complete riemannian manifolds Shing‐Tung Yau · Communications on Pure and Applied Mathematics | Mar 1975 | 1,249 |
| 14 | Lorentz Invariance with an Invariant Energy Scale João Magueijo, Lee Smolin · Physical Review Letters | 26 Apr 2002 | 1,247 |
| 15 | Semi-Riemannian Geometry Feng Ye | 2011 | 1,179 |
| 16 | Planck 2018 results N. Aghanim et al. · Astronomy and Astrophysics | 12 Jun 2020 | 1,178 |
| 17 | Gravitational Radiation from Colliding Black Holes Stephen William Hawking · Physical Review Letters | 24 May 1971 | 1,162 |
| 18 | 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 |
| 19 | Einstein’s other gravity and the acceleration of the Universe Eric V. Linder · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Jun 2010 | 1,127 |
| 20 | Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations Brandon Carter · Communications in Mathematical Physics | Dec 1968 | 1,122 |
| 21 | From k -essence to generalized Galileons Cédric Deffayet, Xian Gao, D. A. Steer et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 27 Sep 2011 | 1,111 |
| 22 | Maximal Analytic Extension of the Kerr Metric Robert H. Boyer, Richard W. Lindquist · Journal of Mathematical Physics | Feb 1967 | 1,074 |
| 23 | Covariant Galileon Cédric Deffayet, Gilles Esposito-Farèse, Alexander Vikman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 3 Apr 2009 | 1,071 |
| 24 | R-Torsion and the Laplacian on Riemannian manifolds Daniel Ray, I. M. Singer · Advances in Mathematics | Oct 1971 | 1,049 |
| 25 | Mirror Symmetry is T-Duality Andrew Strominger, Shing-tung Yau, Eric Zaslow | 1996 | 1,047 |
| 26 | Asymptotic behavior for singularities of the mean curvature flow Gerhard Huisken · Journal of Differential Geometry | 1990 | 989 |
| 27 | A new capacity for plurisubharmonic functions Eric Bedford, B. A. Taylor · Acta Mathematica | 1982 | 964 |
| 28 | Brane inflation Gia Dvali, S.-H. Henry Tye · Physics Letters B | Mar 1999 | 961 |
| 29 | On the structure of spaces with Ricci curvature bounded below. I Jeff Cheeger, Tobias Colding · Journal of Differential Geometry | 1997 | 928 |
| 30 | Kähler-Einstein metrics with positive scalar curvature Gang Tian · Inventiones mathematicae | 3 Sep 1997 | 880 |
| 31 | Empty-Space Generalization of the Schwarzschild Metric Ezra Ted Newman, Louis A. Tamburino, Theodore W. J. Unti · Journal of Mathematical Physics | Jul 1963 | 867 |
| 32 | Statistical Aspects of Wasserstein Distances Victor M. Panaretos, Yoav Zemel · Annual Review of Statistics and Its Application | 2 Nov 2018 | 860 |
| 33 | Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices Vincent Arsigny, Pierre Fillard, Xavier Pennec et al. · SIAM Journal on Matrix Analysis and Applications | 2007 | 835 |
| 34 | Vacuum nonsingular black hole Irina Dymnikova · General Relativity and Gravitation | Mar 1992 | 801 |
| 35 | Gravitational multi-instantons Gary William Gibbons, Stephen William Hawking · Physics Letters B | Oct 1978 | 781 |
| 36 | The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality Gerhard Huisken, Tom Ilmanen · Journal of Differential Geometry | Nov 2001 | 769 |
| 37 | Unified Geometric Theory of Gravity and Supergravity S. W. MacDowell, F. Mansouri · Physical Review Letters | 4 Apr 1977 | 742 |
| 38 | Certain conditions for a Riemannian manifold to be isometric with a sphere Morio Obata · Journal of the Mathematical Society of Japan | Jul 1962 | 718 |
| 39 | A Method for Generating Solutions of Einstein's Equations Robert Geroch · Journal of Mathematical Physics | Jun 1971 | 689 |
| 40 | The splitting theorem for manifolds of nonnegative Ricci curvature Jeff Cheeger, Detlef Gromoll · Journal of Differential Geometry | Sep 1971 | 679 |
| 41 | On the duality condition for a Hermitian scalar field J.J. Bisognano, Eyvind H. Wichmann · Journal of Mathematical Physics | Apr 1975 | 660 |
| 42 | The tangent space in sub-Riemannian geometry A. Bellaïche · Birkhäuser Basel eBooks | 1996 | 653 |
| 43 | Control systems on Lie groups Velimir Jurdjevic, Héctor J. Sussmann · Journal of Differential Equations | Sep 1972 | 650 |
| 44 | Global aspects of the Cauchy problem in general relativity Yvonne Choquet–Bruhat, Robert Geroch · Communications in Mathematical Physics | Dec 1969 | 629 |
| 45 | Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products Jeff Cheeger, Tobias Colding · Annals of Mathematics | Jul 1996 | 620 |
| 46 | The contraction principle for mappings on a metric space with a graph Jacek R. Jachymski · Proceedings of the American Mathematical Society | 5 Dec 2007 | 620 |
| 47 | Cosmology of generalized modified gravity models Sean Michael Carroll, Antonio De Felice, Vikram Duvvuri et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 18 Mar 2005 | 612 |
| 48 | The stability of general relativistic cosmological theory John David Barrow, Adrian C. Ottewill · Journal of Physics A Mathematical and General | 21 Aug 1983 | 611 |
| 49 | Comparison geometry for the Bakry-Emery Ricci tensor Guofang Wei, William Wylie · Journal of Differential Geometry | Oct 2009 | 603 |
| 50 | Inflation and the conformal structure of higher-order gravity theories John David Barrow, Spiros Cotsakis · Physics Letters B | Dec 1988 | 598 |
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.