Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains
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Peter Pflug
Abstract
We deliver examples of non-Gromov hyperbolic tube domains with convex bases (equipped with the Kobayashi distance). This is shown by providing a criterion on non-Gromov hyperbolicity of (non-smooth) domains. The results show the similarity of geometry of the bases of non-Gromov hyperbolic tube domains with the geometry of non-Gromov hyperbolic convex domains. A connection between the Hilbert metric of a convex domain Ω in
Funding source: Alexander von Humboldt-Stiftung
Award Identifier / Grant number: 3.3-POL/1052079 STP
Funding source: Narodowe Centrum Nauki
Award Identifier / Grant number: 2015/17/B/ST1/00996
Funding statement: The paper was initiated while the second author was at the research stay at the Carl von Ossietzky University of Oldenburg supported by the Alexander von Humboldt Foundation (3.3-POL/1052079 STP). The second author was also partially supported by the OPUS grant no. 2015/17/B/ST1/00996 of the National Science Centre, Poland.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
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- Existence of solutions for a semirelativistic Hartree equation with unbounded potentials
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- Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains
- Nevanlinna-type theorems for meromorphic functions on non-positively curved Kähler manifolds
- The splitting of cohomology of p-groups with rank 2
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Articles in the same Issue
- Frontmatter
- Logarithmic Sobolev inequalities for Moebius measures on spheres
- Delta sets for nonsymmetric numerical semigroups with embedding dimension three
- Two versions of pseudo-differential operators involving the Kontorovich–Lebedev transform in L2(ℝ+;dx/x)
- Remarks on Lp-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
- On blocks with one modular character
- On the large-scale geometry of diffeomorphism groups of 1-manifolds
- Lp boundedness of rough bi-parameter Fourier integral operators
- Coclosed G2-structures inducing nilsolitons
- Existence of solutions for a semirelativistic Hartree equation with unbounded potentials
- On two questions concerning representations distinguished by the Galois involution
- Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains
- Nevanlinna-type theorems for meromorphic functions on non-positively curved Kähler manifolds
- The splitting of cohomology of p-groups with rank 2
- Star-group identities on units of group algebras: The non-torsion case
- Expansion for cubes in the Heisenberg group
- Semilinear Robin problems resonant at both zero and infinity
- Purely infinite simple Kumjian–Pask algebras
