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We provide some relations between CR invariants of boundaries of strongly pseudoconvex domains and higher order asymptotic behavior of certain complete K¨ahler metrics of given domains. As a consequence, we prove a rigidity theorem of strongly pseudoconvex domains by asymptotic curvature behavior of metrics.
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참고문헌 (19)
참고문헌 신청
C. Fefferman / 1974 / On the Bergman kernel and biholomorphic mappings of pseudoconvex domains / Bull. Amer. Math. Soc 80 (4) : 667 ~ 669
C. R. Graham / 1988 / Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains / Duke Math. J 57 (3) : 697 ~ 720
E. Barletta / 2006 / On the boundary behavior of the holomorphic sectional curvature of the Bergman metric / Matematiche (Catania) 61 (2) : 301 ~ 316
K. Hirachi / 1993 / Scalar pseudo-Hermitian invariants and the Szeg¨o kernel on three-dimensional CR manifolds, Complex geometry (Osaka, 1990) / Lecture Notes in Pure and Ap
K. T. Kim / 1996 / Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains / Pacific J. Math 176 (1) : 141 ~ 163
C. R. Graham / 1988 / Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains / Duke Math. J 57 (3) : 697 ~ 720
E. Barletta / 2006 / On the boundary behavior of the holomorphic sectional curvature of the Bergman metric / Matematiche (Catania) 61 (2) : 301 ~ 316
K. Hirachi / 1993 / Scalar pseudo-Hermitian invariants and the Szeg¨o kernel on three-dimensional CR manifolds, Complex geometry (Osaka, 1990) / Lecture Notes in Pure and Ap
K. T. Kim / 1996 / Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains / Pacific J. Math 176 (1) : 141 ~ 163
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