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Topic · Astronomy and Astrophysics

Advanced Differential Geometry Research

Advanced Differential Geometry Research is a research topic within Astronomy and Astrophysics. Science Explorer counts 15k research works in it since 1950. 10.2% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the application of Finsler geometry in physics and cosmology, including topics such as Riemannian manifolds, general relativity, cosmological models, Einstein gravity, Randers metrics, projectively flat metrics, homogeneous manifolds, Jacobi stability analysis, and the potential role of Finsler geometry in understanding dark matter and dark energy.

  • Finsler Geometry
  • Riemannian Manifolds
  • General Relativity
  • Cosmology
  • Einstein Gravity
  • Randers Metrics
  • Projectively Flat Metrics
  • Homogeneous Manifolds
  • Jacobi Stability Analysis
  • Dark Matter and Dark Energy
Research works
15k
fractional, since 1950
In the world top 10%
1.6k
per year above
Top-10% rate
10.2%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+15%
the tick is no change
Largest producer
China
22% of the 10 largest, 2022-now
Advanced Differential Geometry Research

Which countries lead Advanced Differential Geometry Research research?

By volume, China and India publish the most (407 and 374 works in 2022-now).

By volume, 2022-now

  1. 1 China 407 works
  2. 2 India 374 works
  3. 3 Türkiye 219 works
  4. 4 United States 202 works
  5. 5 Saudi Arabia 118 works
  6. 6 Russia 113 works
  7. 7 Iran 106 works
  8. 8 Brazil 104 works
  9. 9 Italy 98 works
  10. 10 Spain 95 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 22.2%India: 20.4%Türkiye: 11.9%United States: 11.0%6 others listed: 34.5%22%largest
China407 · 22.2%India374 · 20.4%Türkiye219 · 11.9%United States202 · 11.0%6 others listed633 · 34.5%

Shares of the rows listed above, not of the whole node.

Which institutions lead Advanced Differential Geometry Research research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Advanced Differential Geometry Research research, followed by Russian Academy of Sciences and Kuvempu University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 31 works
  2. 2 Russian Academy of SciencesRussia 28 works
  3. 3 Kuvempu UniversityIndia 23 works
  4. 4 University of CalcuttaIndia 19 works
  5. 5 King Saud UniversitySaudi Arabia 16 works
  6. 6 Imam Khomeini International UniversityIran 16 works
  7. 7 University of AdenYemen 15 works
  8. 8 Banaras Hindu UniversityIndia 15 works
  9. 9 Xiamen UniversityChina 14 works
  10. 10 University of QomIran 14 works

Who are the leading researchers in Advanced Differential Geometry Research?

The most-cited researchers publishing on Advanced Differential Geometry Research include Edward H. Witten, Douglas Scott and B. S. Acharya.

  1. 1 Edward H. Witten United States 174k citations
  2. 2 Douglas Scott Canada 172k citations
  3. 3 B. S. Acharya France 164k citations
  4. 4 S. Matarrese Italy 121k citations
  5. 5 M. Frailis France 120k citations
  6. 6 Martin J. White United States 119k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

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).

Most cited papers
#PaperReleasedCitations
1 LOSS OF RECENT MEMORY AFTER BILATERAL HIPPOCAMPAL LESIONS William Beecher Scoville, Brenda Atkinson Milner · Journal of Neurology Neurosurgery & Psychiatry Open access Feb 1957 7,447
2 f ( R ) theories of gravity Thomas P. Sotiriou, Valerio Faraoni · Reviews of Modern Physics Open access 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) PreprintOpen access 11 Nov 2002 2,563
All 100 most cited papers, with filters and sorting

Where is Advanced Differential Geometry Research research done?

The largest centres of Advanced Differential Geometry Research research in 2022-now are Beijing (China), Riyadh (Saudi Arabia), Moscow (Russia) and Kolkata (India). Among places with at least 20 works in it, it is an unusually large share of all research in Shimoga.

Largest cities, 2022-now

  1. 1 BeijingChina 52 works
  2. 2 RiyadhSaudi Arabia 47 works
  3. 3 MoscowRussia 43 works
  4. 4 KolkataIndia 41 works
  5. 5 IstanbulTürkiye 29 works
  6. 6 HangzhouChina 27 works
  7. 7 LahorePakistan 26 works
  8. 8 ShanghaiChina 26 works
  9. 9 ParisFrance 25 works
  10. 10 ShimogaIndia 23 works

Where it is the local speciality

  1. ShimogaIN · 23.4 works120×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Advanced Differential Geometry Research than the world average.

See Advanced Differential Geometry Research on the map

Where is the best place to study Advanced Differential Geometry Research?

Among universities, judged by research, Kuvempu University, University of Lahore and Zhejiang Normal University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%25%50%75%mean 31.11%fractional works in this field (log) →share of work in the world top 10% →University of LahoreZhejiang Normal Univ…Kuvempu UniversityKing Saud University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Kuvempu UniversityIndia 63.830.2%250.6×23 +45.7%
2University of LahorePakistan 62.565.8%20.3×9 -
3Zhejiang Normal UniversityChina 52.247.6%13.2×9 +228.6%
4King Saud UniversitySaudi Arabia 52.114.4%6.6×16 +85.3%
5Hangzhou Normal UniversityChina 51.256.1%16.0×10 -
6University of CalcuttaIndia 47.59.8%35.3×19 +8.2%
7Jazan UniversitySaudi Arabia 47.413.8%25.1×13 +69.7%
8University of the PunjabPakistan 46.940.4%16.2×12 -26.6%
9Imam Khomeini International UniversityIran 46.811.1%111.3×16 +246.7%
10Princess Nourah bint Abdulrahman UniversitySaudi Arabia 46.621.9%14.8×9 +324.3%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Advanced Differential Geometry Research, country by country

Is Advanced Differential Geometry Research research growing?

Output in 2022-2025 was 15% higher than in 2018-2021, peaking in 2023. The fastest-growing topics are Advanced Differential Geometry Research.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Advanced Differential Geometry Research as a percentage of every work published that year, 0.013% in 2024.

still counting0.010%0.020%0.030%Advanced Differential Geometry Research0.011% in 202519801990200020102020

Fractional works of Advanced Differential Geometry Research over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Advanced Differential Geometry Research10.3% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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