Introduces a statistical model on complex domains via probability measures, derives a covariance-based curvature formula for the Bergman metric, proves a biholomorphism criterion from metric preservation, and establishes consistency plus CLT for the Fréchet mean of Calabi's diastasis.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CV 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Statistical Bergman geometry
Introduces a statistical model on complex domains via probability measures, derives a covariance-based curvature formula for the Bergman metric, proves a biholomorphism criterion from metric preservation, and establishes consistency plus CLT for the Fréchet mean of Calabi's diastasis.