Results 41 to 50 of about 1,775 (74)
Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
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Boundary jets of holomorphic maps between strongly pseudoconvex domains
Journal of Functional Analysis, 2008 We study jets of germs of holomorphic maps between two strongly pseudoconvex domains under the condition that the image of one domain is contained into the other and a given boundary point is (non-tangentially) mapped to a given boundary point. We completely characterize the (non-tangential) 1-jets.
Bracci, Filippo, Zaitsev, Dmitri
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The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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Some characterizations of Bloch functions on strongly pseudoconvex domains [PDF]
Colloquium Mathematicum, 1992 The main result of the paper is the following theorem. Let \(D\) be a strongly pseudoconvex domain in \(\mathbb{C}^ n\) with defining function \(\rho\). Let \(F_ K^ D\), \(d_ K\) denote the Kobayashi-Royden metric and the Kobayashi distance for \(D\), respectively. Put \(B_ K(q,r):=\{z\in D\): \(d_ K(q,z)
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Comparison and localization of invariant functions on strongly pseudoconvex domains
Bulletin of the London Mathematical Society, 2023 AbstractComparison and localization results for the Lempert function, the Carathéodory distance, and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.
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On isometries of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009 Summary: Let \(\Omega_1\) and \(\Omega_2\) be strongly pseudoconvex domains in \(\mathbb{C}^n\) and \(f:\Omega_1\to\Omega_2\) an isometry for the Kobayashi or Carathéodory metrics. Suppose that \(f\) extends as a \(C^1\) map to \(\overline\Omega\). We then prove that \(f|_{\partial \Omega_1}:\partial\Omega 1\to\partial\Omega_2\) is a CR or anti-CR ...
Seshadri, Harish, Verma, Kaushal
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The geometry of domains with negatively pinched K\"ahler metrics
, 2018 We study how the existence of a negatively pinched K\"ahler metric on a domain in complex Euclidean space restricts the geometry of its boundary. In particular, we show that if a convex domain admits a complete K\"ahler metric, with pinched negative ...
Bracci, Filippo +2 more
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The Borel map in locally integrable structures. [PDF]
Math Ann, 2020 Della Sala G, Cordaro PD, Lamel B.
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Precise estimates of invariant distances on strongly pseudoconvex domains
Advances in MathematicsStudying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carathéodory distance on $\mathcal{C}^{2,α}$-smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with $\mathcal{C}^{3,1}$-boundary.
Kosiński, Łukasz +2 more
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