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/