Question 1

Which countries lead Geometric Analysis and Curvature Flows research?

Accepted Answer

By volume, China and the United States publish the most (1k and 693 works in 2022-now).

Question 2

Which institutions lead Geometric Analysis and Curvature Flows research?

Accepted Answer

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Geometric Analysis and Curvature Flows research, followed by Russian Academy of Sciences and Tsinghua University.

Question 3

Who are the leading researchers in Geometric Analysis and Curvature Flows?

Accepted Answer

The most-cited researchers publishing on Geometric Analysis and Curvature Flows include Florian Fischer, Michael I. Jordan and Edward H. Witten.

Question 4

Where is Geometric Analysis and Curvature Flows research done?

Accepted Answer

The largest centres of Geometric Analysis and Curvature Flows research in 2022-now are Beijing (China), Paris (France), Shanghai (China) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Qazvin.

Question 5

Where is the best place to study Geometric Analysis and Curvature Flows?

Accepted Answer

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

Question 6

Is Geometric Analysis and Curvature Flows research growing?

Accepted Answer

Output in 2022-2025 was 21% higher than in 2018-2021, peaking in 2023. The fastest-growing topics are Geometric Analysis and Curvature Flows.

Question 7

What are the most cited papers in Geometric Analysis and Curvature Flows?

Accepted Answer

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).