# 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} }

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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…

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- MathematicsIndiana University Mathematics Journal
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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 $\mathbb{G}$…

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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…

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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…

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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…

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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…

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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.