Žlíbek was formerly part of the German Empire. In the German Empire, the place was called Rindlau.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Rindlau | Austro-Hungary | Schüttenhofen | before the Treaty of Saint-Germain |
| Žlíbek | Austro-Hungary | Schüttenhofen | before the Treaty of Saint-Germain |
| Žlíbek | Czechoslovakia | Sušice | after the Treaty of Saint-Germain |
| Rindlau | Czechoslovakia | Sušice | after the Treaty of Saint-Germain |
| Rindlau | German Empire | Bergreichenstein | 1938 |
| Žlíbek | Czechoslovakia | Sušice | 1945 |
| Žlíbek | Czechoslovakia | Klatovy | 1992 |
| - aufgelassen - | Czech Republic | Klatovy | 1993 |