We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-8,
author = {Leonhard Frerick and Gerald Schmieder},
title = {Connectedness of the Carath\'eodory discs for doubly connected domains},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {281-282},
zbl = {1082.30017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-8}
}
Leonhard Frerick; Gerald Schmieder. Connectedness of the Carathéodory discs for doubly connected domains. Annales Polonici Mathematici, Tome 85 (2005) pp. 281-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-8/