Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
From MaRDI portal
Publication:1102410
DOI10.1007/BF01461721zbMath0644.32013MaRDI QIDQ1102410
Franc Forstnerič, Jean-Pierre Rosay
Publication date: 1987
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164320
Invariant metrics and pseudodistances in several complex variables (32F45) Continuation of analytic objects in several complex variables (32D15) Proper holomorphic mappings, finiteness theorems (32H35) Pseudoconvex domains (32T99)
Related Items
The Lindelöf principle and angular derivatives in convex domains of finite type ⋮ Rescaling methods in complex analysis ⋮ Visibility of Kobayashi geodesics in convex domains and related properties ⋮ Gromov (non-)hyperbolicity of certain domains in \(\mathbb{C}^{N}\) ⋮ Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type ⋮ Unnamed Item ⋮ Estimates of the Bergman distance on Dini-smooth bounded planar domains ⋮ COMPACTNESS OF CERTAIN FAMILIES OF PSEUDO-HOLOMORPHIC MAPPINGS INTO ${\mathbb C}^n$ ⋮ Abstract boundaries and continuous extension of biholomorphisms ⋮ Strong localization of invariant metrics ⋮ Comparison and localization of invariant functions on strongly pseudoconvex domains ⋮ Unbounded visibility domains, the end compactification, and applications ⋮ On the continuous extension of Kobayashi isometries ⋮ Strongly Goldilocks domains, quantitative visibility, and applications ⋮ Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\) ⋮ Local and global notions of visibility with respect to Kobayashi distance: a comparison ⋮ Some aspects of holomorphic mappings: a survey ⋮ The Lindelöf principle and the angular derivative in strongly convex domains ⋮ Boundary behavior of the quasi-hyperbolic metric ⋮ Bloch principle and estimates of the Kobayashi metric of domains in \(\mathbb{C}^2\) ⋮ A local extension theorem for proper holomorphic mappings in \(\mathbb{C}^2\) ⋮ On the boundary rigidity at strongly pseudoconvex points ⋮ Localization of the Kobayashi metric and applications ⋮ Sharp estimates of the Kobayashi metric and Gromov hyperbolicity ⋮ Estimates of invariant distances on ``convex domains ⋮ A characterization of certain domains with good boundary points in the sense of Greene-Krantz. II ⋮ On the squeezing function and Fridman invariants ⋮ Characterizing domains by the limit set of their automorphism group ⋮ Estimates of the Kobayashi and quasi-hyperbolic distances ⋮ Goldilocks domains, a weak notion of visibility, and applications ⋮ Local Boundary Regularity of the Szego Projection and Biholomorphic Mappings of Non-Pseudoconvex Domains ⋮ Some aspects of the Kobayashi and Carathéodory metrics on pseudoconvex domains ⋮ Boundary behavior of the Kobayashi distance in pseudoconvex Reinhardt domains ⋮ Canonical models on strongly convex domains via the squeezing function ⋮ Weighted Boundary Limits of the Generalized Kobayashi-Royden Metrics on Weakly Pseudoconvex Domains ⋮ A characterization of certain domains with good boundary points in the sense of Greene-Krantz ⋮ Upper bound for the Lempert function of smooth domains ⋮ On the localization principle for the automorphisms of pseudoellipsoids ⋮ Unnamed Item ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in $\mathbb C^n$ ⋮ Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains ⋮ Smoothly bounded domains covering finite volume manifolds ⋮ A characterization of certain weakly pseudoconvex domains ⋮ A weak notion of visibility, a family of examples, and Wolff-Denjoy theorems ⋮ Peak functions and boundary behaviour of holomorphically invariant distances and metrics on strictly pseudoconvex domains ⋮ Estimation on invariant distances on pseudoconvex domains of finite type in dimension two ⋮ Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\) ⋮ Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds ⋮ On the dynamics of isometries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Biholomorphic mappings between certain real analytic domains in \(\mathbb{C}^2\)
- Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls
- Boundary interpolation by proper holomorphic maps
- Regularity of the Bergman projection on domains with transverse symmetries
- On proper holomorphic mappings of strictly pseudoconvex domains
- On boundaries of complex analytic varieties. I
- Peak-interpolation sets of class \(C^1\)
- The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains
- Biholomorphic maps of weakly pseudoconvex domains
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Über das Randverhalten von holomorphen Automorphismen beschränkter Gebiete
- Topologische Fortsetzung biholomorpher Funktionen auf dem Rande bei beschränkten streng-pseudokonvexen Gebieten im C\(^n\) mit C\(^\infty\)- Rand
- One Example of the Boundary Behaviour of Biholomorphic Transformations
- Embedding Strictly Pseudoconvex Domains Into Balls
- Boundary regularity for holomorphic maps from the disc to the ball.
- The Ends of Varieties
- Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
- On the Topological Extension to the Boundary of Biholomorphic Maps in C n
- Intrinsic distances, measures and geometric function theory
- Report on the Teichmüller Metric
- Boundary regularity of proper holomorphic mappings
This page was built for publication: Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings