On the Automorphism Groups of Models in ℂ 2 $\mathbb {C}^{2}$

Thu, Ninh Van; Duc, Mai Anh

doi:10.1007/s40306-015-0160-x

Acta Math Vietnam

2016

DOI: 10.1007/s40306-015-0160-x

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On the Automorphism Groups of Models in ℂ 2 $\mathbb {C}^{2}$

Ninh Van Thu

Mai Anh Duc

Abstract: Abstract. In this note, we consider models in C 2 . The purpose of this note is twofold. We first show a characterization of models in C 2 by their noncompact automorphism groups. Then we give an explicit description for automorphism groups of models in C 2 .

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Cited by 2 publications

References 30 publications

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Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$

Fiacchi

2021

Math. Ann.

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In this paper we study the hyperbolicity in the sense of Gromov of domains in R d (d ≥ 3) with respect to the minimal metric introduced by Forstnerič and Kalaj in [13].In particular, we prove that every bounded strongly minimally convex domain is Gromov hyperbolic and its Gromov compactification is equivalent to its Euclindean closure. Moreover, we prove that the boundary of a Gromov hyperbolic convex domain does not contain nontrivial conformal harmonic disks. Finally, we study the relation between the minimal metric and the Hilbert metric in convex domains.

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Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$

Fiacchi

2021

Math. Ann.

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On the Automorphism Groups of Finite Multitype Models in $$\mathbb C^n$$ C n

et al. 2018

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On the Automorphism Groups of Models in ℂ 2 $\mathbb {C}^{2}$

Abstract: Abstract. In this note, we consider models in C 2 . The purpose of this note is twofold. We first show a characterization of models in C 2 by their noncompact automorphism groups. Then we give an explicit description for automorphism groups of models in C 2 .

Cited by 2 publications

References 30 publications

Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$

Gromov hyperbolicity of pseudoconvex finite type domains in $${\mathbb {C}}^2$$

On the Automorphism Groups of Finite Multitype Models in $$\mathbb C^n$$ C n

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