A watan Mayu na 1941, Lindemann ya umurci "Bismarck" a lokacin "Operation Rheinübung". "Bismarck" da jirgin ruwa mai nauyi sun kafa rundunar aiki a karkashin jagorancin Admiral Günther Lütjens a kan jirgin Bismarck. Umurni sun kasance su karya daga tushe a
Jamus ta mamaye Poland kuma ta kai hari kan hanyoyin jigilar kayayyaki na Burtaniya a Tekun Atlantika. Babban aikin farko na rundunar shine yakin Denmark Strait wanda ya haifar da nutsewar. Kasa da mako guda daga baya, a ranar 27 ga Mayu, Lindemann da yawancin ma'aikatansa sun mutu a yakin karshe na "Bismarck".