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Wilhelm Killing

Wilhelm Karl Joseph Killing (10 May 1847 – 11 February 1923) was a German mathematician who made important contributions to the theories of Lie algebras, Lie groups, and non-Euclidean geometry.

Wilhelm Karl Joseph Killing

11 February 1923 (1923-02-12) (aged 75)

Anna Commer

Mathematics

Life[edit]

Killing studied at the University of Münster and later wrote his dissertation under Karl Weierstrass and Ernst Kummer at Berlin in 1872. He taught in gymnasia (secondary schools) from 1868 to 1872. In 1875, he married Anna Commer, who was the daughter of a music lecturer. He became a professor at the seminary college Collegium Hosianum in Braunsberg (now Braniewo). He took holy orders in order to take his teaching position. He became rector of the college and chair of the town council. As a professor and administrator Killing was widely liked and respected. Finally, in 1892 he became a professor at the University of Münster.[1]


In 1886, Killing and his wife entered the Third Order of Franciscans.[1]

Killing, W. (1878) [1877]. . Journal für die reine und angewandte Mathematik. 86: 72–83.

"Ueber zwei Raumformen mit constanter positiver Krümmung"

Killing, W. (1880) [1879]. . Journal für die reine und angewandte Mathematik. 89: 265–287.

"Die Rechnung in den Nicht-Euklidischen Raumformen"

Killing, W. (1885) [1884]. . Journal für die reine und angewandte Mathematik. 98: 1–48.

"Die Mechanik in den Nicht-Euklidischen Raumformen"

Killing, W. (1885). . Leipzig: Teubner.

Die nicht-euklidischen Raumformen

Killing, W. (1891). . Mathematische Annalen. 39 (2): 257–278. doi:10.1007/bf01206655. S2CID 119473479.

"Ueber die Clifford-Klein'schen Raumformen"

Killing, W. (1892). . Journal für die reine und angewandte Mathematik. 109: 121–186.

"Ueber die Grundlagen der Geometrie"

Killing, W. (1893). . Mathematische Annalen. 43 (4): 569–590. doi:10.1007/bf01446454. S2CID 121748880.

"Zur projectiven Geometrie"

Killing, W. (1893). . Paderborn: Schöningh.

Einführung in die Grundlagen der Geometrie I

Killing, W. (1898) [1897]. . Paderborn: Schöningh.

Einführung in die Grundlagen der Geometrie II

Killing equation

Killing form

Killing–Hopf theorem

Killing horizon

Killing spinor

Killing tensor

Killing vector field

Levi decomposition

G2 (mathematics)

Root system

Media related to Wilhelm Killing (mathematician) at Wikimedia Commons