The Symmetrized Bidisc and Lempert's Theorem

By C. Costara. 2004

111 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b1d6d32b1e731fa20179bc64dfd998673d45de54

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. A. Abouhajar
2. M. White
3. Gautam Bharali
4. Andrew M. Zimmer
5. Wlodzimierz Zwonek
6. A. Edigarian
7. N. Young
8. Jim Agler

In Geometry and Topology

1. Gautam Bharali
2. Andrew M. Zimmer
3. Wlodzimierz Zwonek
4. A. Edigarian
5. N. Young

Citations in the corpus

• A Schwarz lemma for a domain related to μ-synthesis (2007, background): “its higher dimensional analogues have a rich geometry and function theory, of interest independently of their connections with engineering (for example [5, 12 , 15, 19, 10] among others).”
• Geometry of the symmetrized polydisc (2004, background): “The symmetrized polydisc has been recently studied by many authors, especially in two-dimensional case (see e.g. [2, 3, 4], [ 7 ], [16]).”
• Goldilocks domains, a weak notion of visibility, and applications (2016, background): “We ought to mention that all complex geodesics of the symmetric twofold product of ∆ (also known as the symmetrized bidisc) — which is not biholomorphic to any convex domain; see [Cos04] — extend continuously up to ∂∆.”