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• W2953000554 abstract "In this paper we consider the following question: For bounded domains with smooth boundary, can strong pseudoconvexity be characterized in terms of the intrinsic complex geometry of the domain? Our approach to answering this question is based on understanding the dynamical behavior of real geodesics in the Kobayashi metric and allows us to prove a number of results for domains with low regularity. For instance, we show that for convex domains with $C^{2,epsilon}$ boundary strong pseudoconvexity can be characterized in terms of the behavior of the squeezing function near the boundary, the behavior of the holomorphic sectional curvature of the Bergman metric near the boundary, or any other reasonable measure of the complex geometry near the boundary. The first characterization gives a partial answer to a question of Fornaess and Wold. As an application of these characterizations, we show that a convex domain with $C^{2,epsilon}$ boundary which is biholomorphic to a strongly pseudoconvex domain is also strongly pseudoconvex." @default.
• W2953000554 created "2019-06-27" @default.
• W2953000554 creator A5078044336 @default.
• W2953000554 date "2017-03-04" @default.
• W2953000554 modified "2023-09-27" @default.
• W2953000554 title "Characterizing strong pseudoconvexity, obstructions to biholomorphisms, and Lyapunov exponents" @default.
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• W2953000554 hasPublicationYear "2017" @default.
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