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Geometry and complex manifolds

Geometry and complex manifolds is a research topic within Geometry and Topology. Science Explorer counts 17k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the geometry, stability, and properties of Kähler metrics, including topics such as scalar curvature, K-stability, complex Monge-Ampère equations, Ricci flow, Fano manifolds, Calabi-Yau manifolds, and geometric quantization.

  • Kähler Metrics
  • Stability
  • Scalar Curvature
  • K-Stability
  • Complex Monge-Ampère Equation
  • Ricci Flow
  • Fano Manifolds
  • Calabi-Yau Manifolds
  • Singularities
  • Geometric Quantization
Research works
17k
fractional, since 1950
In the world top 10%
1.7k
per year above
Top-10% rate
10.1%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+14%
the tick is no change
Largest producer
China
24% of the 10 largest, 2022-now
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