A LAPLACE INTEGRAL, THE T–Y–Z EXPANSION, AND BEREZIN'S TRANSFORM ON A KÄHLER MANIFOLD

DOI10.1142/S0219887805000648zbMath1082.53039MaRDI QIDQ5696527

Andrea Loi

Publication date: 18 October 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Bergman metricsKähler metricsSzegö kerneldiastasisBerenzin's transform

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

TYZ expansion for the Kepler manifold ⋮ Regular quantizations and covering maps ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Two conjectures on Ricci-flat Kähler metrics ⋮ On the Szegő kernel of Cartan-Hartogs domains ⋮ The Simanca metric admits a regular quantization ⋮ On the third coefficient of TYZ expansion for radial scalar flat metrics ⋮ Finite TYCZ expansions and cscK metrics ⋮ ENGLIŠ EXPANSION FOR HARTOGS DOMAINS ⋮ On homothetic balanced metrics ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics

Cites Work

• On a set of polarized Kähler metrics on algebraic manifolds
• Isometric imbedding of complex manifolds
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch

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