Žlábek was formerly part of the German Empire. In the German Empire, the place was called Riendles.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Riendles | Austro-Hungary | Krumau | before the Treaty of Saint-Germain |
| Žlábek | Austro-Hungary | Krumau | before the Treaty of Saint-Germain |
| Žlábek | Czechoslovakia | Český Krumlov | after the Treaty of Saint-Germain |
| Rindles | Czechoslovakia | Český Krumlov | after the Treaty of Saint-Germain |
| Riendles | German Empire | Krummau/Moldau (Böhm.-Krumau) | 1938 |
| Žlábek | Czechoslovakia | Český Krumlov | 1945 |
| Žlábek | Czechoslovakia | Český Krumlov | 1992 |
| - aufgelassen - | Czech Republic | Český Krumlov | 1993 |