A characterization of the bidisc by a subgroup of its automorphism group

```@article{Biswas2021ACO,
title={A characterization of the bidisc by a subgroup of its automorphism group},
author={Anindya Kumar Biswas and Anwoy Maitra},
journal={Journal of Mathematical Analysis and Applications},
year={2021},
volume={504},
pages={125434}
}```
• Published 11 April 2021
• Mathematics
• Journal of Mathematical Analysis and Applications

References

SHOWING 1-10 OF 14 REFERENCES

Characterization of the Bidisc by Its Automorphism Group

By a convex domain we mean an open set which contains the line segment joining any two points of it. In the above statement, g = lim>,0 gj (relative to the compact open topology) is a holomorphic

On the geometry of the symmetrized bidisc

• Mathematics
Indiana University Mathematics Journal
• 2022
We study the action of the automorphism group of the \$2\$ complex dimensional manifold symmetrized bidisc \$\mathbb{G}\$ on itself. The automorphism group is 3 real dimensional. It foliates \$\mathbb{G}\$

The maximal solvable subgroups of the SU(p,q) groups and all subgroups of SU(2,1)

• Mathematics
• 1974
A general method is proposed for obtaining all conjugacy classes of maximal solvable subalgebras of an arbitrary semisimple Lie algebra over a zero characteristic field F. The method is applied to

Complex Analytic Sets

The theory of complex analytic sets is part of the modern geometric theory of functions of several complex variables. Traditionally, the presentation of the foundations of the theory of analytic sets

Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups

In this paper we determine all Kobayashi-hyperbolic 2-dimensional complex manifolds for which the group of holomorphic automorphisms has dimension 3. This work concludes a recent series of papers by

Introduction to Smooth Manifolds

Preface.- 1 Smooth Manifolds.- 2 Smooth Maps.- 3 Tangent Vectors.- 4 Submersions, Immersions, and Embeddings.- 5 Submanifolds.- 6 Sard's Theorem.- 7 Lie Groups.- 8 Vector Fields.- 9 Integral Curves

Hyperbolic manifolds of dimension \$n\$ with automorphism group of dimension \$n^2-1\$

We consider complex Kobayashi-hyperbolic manifolds of dimension \$n\ge 2\$ for which the dimension of the group of holomorphic automorphisms is equal to \$n^2-1\$. We give a complete classification of

Analogues of Rossi's map and E. Cartan's classification of homogeneous strongly pseudoconvex 3-dimensional hypersurfaces

We introduce analogues of a map due to Rossi and show how they can be used to explicitly determine all covers of certain homogeneous strongly pseudoconvex 3-dimensional hypersurfaces that appear in

Lie group actions in complex analysis

Introduction - Lie-theory - Automorphism groups - Compact homogeneous manifolds - Homogeneous vector bundles - Function theory on homogeneous manifolds - Concluding remarks.

Hyperbolic n-dimensional manifolds with automorphism group of dimension n2

Abstract.We obtain a complete classification of complex Kobayashihyperbolic manifolds of dimension n ≥ 2, for which the dimension of the group of holomorphic automorphisms is equal to n2.