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- W175045774 abstract "where r ∈ C∞ is a defining function of the boundary ∂Ω such that r > 0 in Ω and dr 6= 0 on ∂Ω. The problem is to choose r appropriately and express φ modulo O(r) and ψ modulo O∞(r) invariantly in the sense of local biholomorphic geometry. This can be compared with the asymptotic expansion of the heat kernel associated with the diagonal of a compact Riemannian manifold, where the time variable corresponds to the function r in (0.1). The boundary ∂Ω is approximated at every point by a sphere (hyperquadric), and carries a differential geometric structure, called the CR (or pseudoconformal) structure. Let us employ an extrinsic approach due to Chern and Moser in [CM], [M], and put the boundary ∂Ω (formally) in Moser’s normal form N(A) with A = (A αβ ) given by" @default.
- W175045774 created "2016-06-24" @default.
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- W175045774 date "2018-08-15" @default.
- W175045774 modified "2023-09-23" @default.
- W175045774 title "Invariant Theory of the Bergman Kernel" @default.
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- W175045774 doi "https://doi.org/10.2969/aspm/02510167" @default.
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