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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. 15.1% 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%
2.3k
per year above
Top-10% rate
15.1%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+11%
the tick is no change

Which countries lead Advanced Differential Geometry Research research?

By volume, China and India publish the most (361 and 349 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 361 works
  2. 2 India 349 works
  3. 3 Türkiye 201 works
  4. 4 United States 182 works
  5. 5 Russia 106 works
  6. 6 Saudi Arabia 105 works
  7. 7 Iran 100 works
  8. 8 Brazil 95 works
  9. 9 Italy 89 works
  10. 10 Spain 87 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: 21.5%India: 20.8%Türkiye: 12.0%United States: 10.9%6 others listed: 34.8%22%largest
China361 · 21.5%India349 · 20.8%Türkiye201 · 12.0%United States182 · 10.9%6 others listed582 · 34.8%

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

Which institutions lead Advanced Differential Geometry Research research?

By volume in 2022–2025, Kuvempu University publishes the most Advanced Differential Geometry Research research, followed by University of Calcutta and King Saud University.

By volume, 2022–2025

  1. 1 Kuvempu University India 21 works
  2. 2 University of Calcutta India 18 works
  3. 3 King Saud University Saudi Arabia 15 works
  4. 4 University of Aden Yemen 15 works
  5. 5 Imam Khomeini International University Iran 14 works
  6. 6 Xiamen University China 14 works
  7. 7 University of Qom Iran 13 works
  8. 8 Banaras Hindu University India 13 works
  9. 9 Henan Normal University China 13 works
  10. 10 University of the Punjab Pakistan 12 works

Who are the leading researchers in Advanced Differential Geometry Research?

The most-cited researchers publishing on Advanced Differential Geometry Research include Sergei D. Odintsov.

  1. 1 Sergei D. Odintsov 3.3k citations

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

Where is Advanced Differential Geometry Research research done?

The largest centres of Advanced Differential Geometry Research research in 2022–2025 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, 2022–2025

  1. 1 Beijing China 47 works
  2. 2 Riyadh Saudi Arabia 43 works
  3. 3 Moscow Russia 39 works
  4. 4 Kolkata India 38 works
  5. 5 Istanbul Türkiye 26 works
  6. 6 Lahore Pakistan 26 works
  7. 7 Hangzhou China 25 works
  8. 8 Paris France 23 works
  9. 9 Shanghai China 23 works
  10. 10 Tehran Iran 22 works

Where it is the local speciality

  1. ShimogaIN · 21.0 works119×
← less than its size predictsmore →

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 Hangzhou 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 33.31%fractional works in this node (log) →share in the world top 10% →Kuvempu University: 21, 27.7%University of Lahore: 9, 66.4%Hangzhou Normal University: 9, 65.7%Zhejiang Normal University: 9, 54.5%University of the Punjab: 12, 38.4%Imam Khomeini International University: 14, 23.5%University of Calcutta: 18, 11.9%Banaras Hindu University: 13, 10.4%Henan Normal University: 13, 7.9%Princess Nourah bint Abdulrahman University: 8, 26.7%University of LahoreHangzhou Normal Univ…Zhejiang Normal Univ…Kuvempu University
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1Kuvempu University India 70.027.7%218.9×21 +155.4%
2University of Lahore Pakistan 66.866.4%19.0×9
3Hangzhou Normal University China 64.465.7%17.1×9
4Zhejiang Normal University China 59.654.5%12.0×9
5University of the Punjab Pakistan 58.138.4%15.6×12 +44.8%
6Imam Khomeini International University Iran 56.023.5%100.0×14 +70.0%
7University of Calcutta India 55.811.9%36.8×18 +94.4%
8Banaras Hindu University India 55.110.4%10.8×13 +195.7%
9Henan Normal University China 53.67.9%24.6×13 +209.9%
10Princess Nourah bint Abdulrahman University Saudi Arabia 53.126.7%12.4×8

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Advanced Differential Geometry Research research growing?

Output in 2018–2022 was 11% higher than in 2013–2017, peaking in 2023. The fastest-growing topics are Advanced Differential Geometry Research.

19801990200020102020
grewheldshrank

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

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.