At the outbreak of World War II Jauer served as a staff officer and regimental commander. In April 1943 he was appointed commander the 20th Motorized Infantry and 20th Panzer Grenadier Division and took part in the Battle of the Kamenets-Podolsky pocket. He then led the 25th Panzer Division at the Battle of Kiev. On 12 March 1945 he took command of the 'Panzer Corps Großdeutschland' with which he surrendered.
Patzwall, Klaus D.; Scherzer, Veit (2001). Das Deutsche Kreuz 1941 – 1945 Geschichte und Inhaber Band II [The German Cross 1941 – 1945 History and Recipients Volume 2] (in German). Norderstedt, Germany: Verlag Klaus D. Patzwall. ISBN978-3-931533-45-8.
Scherzer, Veit (2007). Die Ritterkreuzträger 1939–1945 Die Inhaber des Ritterkreuzes des Eisernen Kreuzes 1939 von Heer, Luftwaffe, Kriegsmarine, Waffen-SS, Volkssturm sowie mit Deutschland verbündeter Streitkräfte nach den Unterlagen des Bundesarchives [The Knight's Cross Bearers 1939–1945 The Holders of the Knight's Cross of the Iron Cross 1939 by Army, Air Force, Navy, Waffen-SS, Volkssturm and Allied Forces with Germany According to the Documents of the Federal Archives] (in German). Jena, Germany: Scherzers Militaer-Verlag. ISBN978-3-938845-17-2.
Thomas, Franz (1997). Die Eichenlaubträger 1939–1945 Band 1: A–K [The Oak Leaves Bearers 1939–1945 Volume 1: A–K] (in German). Osnabrück, Germany: Biblio-Verlag. ISBN978-3-7648-2299-6.