On the characteristic function of a strictly convex domain and the Fubini-Pick invariant

DOI10.1007/BF03323252zbMath0654.53012OpenAlexW2084632390MaRDI QIDQ1108589

Takeshi Sasaki

Publication date: 1988

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323252

zbMATH Keywords

characteristic functionMonge-Ampère equationBergman kernel functioncharacterizations of ellipsoidsFubini-Pick invariant

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Projective differential geometry (53A20) Affine differential geometry (53A15)

Related Items (2)

Indefinite centroaffine surfaces with vanishing generalized Pick function ⋮ Volume renormalization for the Blaschke metric on strictly convex domains

Cites Work

• A note on characteristic functions and projectively invariant metrics on a bounded convex domain
• Parabolic invariant theory in complex analysis
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Local theory of affine hypersurfaces
• Sur les variétés localement affines et localement projectives
• On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)

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