Convergence of Bergman geodesics on \(\text{CP}^1\)

DOI10.5802/aif.2332zbMath1144.53089arXivmath/0703517OpenAlexW2753325582MaRDI QIDQ2477559

Jian Song, Steven Zelditch

Publication date: 14 March 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703517

zbMATH Keywords

Monge-Ampère equationBergman metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Holomorphic bundles and generalizations (32L05)

Related Items (5)

A Wess-Zumino-Witten type equation in the space of Kähler potentials in terms of Hermitian-Yang-Mills metrics ⋮ Toric partial density functions and stability of toric varieties ⋮ The Tian–Yau–Zelditch Theorem and Toeplitz Operators ⋮ Test configurations, large deviations and geodesic rays on toric varieties ⋮ Bergman metrics and geodesics in the space of Kähler metrics on principally polarized abelian varieties

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