The Lie derivative, a fundamental operator in differential geometry, originated from the research of Władysław Ślebodziński in his 1931 publication concerning Hamiltonian equations. This mathematical tool measures how tensor fields evolve along a vector flow, marking the Polish scholar's most significant contribution to the field of differential geometry and formalizing concepts that remain central to modern geometric study.
Academic Foundations and Early Career
Born on 6 February 1884 in Pysznica, Ślebodziński pursued mathematics and physics at the Jagiellonian University from 1903 to 1908. Following his studies, he held teaching positions in Sanok and Tarnobrzeg. By 1913, he attended lectures in Göttingen under David Hilbert, Constantin Carathéodory, and Edmund Landau. He later earned his doctorate in 1928 from the University of Warsaw under the guidance of Kazimierz Żorawski, focusing on Riemann surfaces, and achieved habilitation in 1934.
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During the Second World War, Ślebodziński relocated from Poznań to Bochnia. Despite the risks, he conducted clandestine academic lectures. His activities resulted in his arrest by Nazi forces, leading to imprisonment in the Gross-Rosen and Nordhausen concentration camps, as well as Auschwitz. Identified as prisoner number 79053 at Auschwitz, he continued teaching fellow prisoners during his internment and survived the forced evacuation march to Wodzisław Śląski in 1945.
The Wrocław School of Mathematics
Following the war, Ślebodziński moved to Wrocław, where he became a joint professor at the University of Wrocław and the Wrocław University of Technology. Alongside Edward Marczewski, Bronisław Knaster, and Hugo Steinhaus, he helped establish the Wrocław School of Mathematics. From 1949 until 1960, he served as a professor within the Institute of Mathematics at the Polish Academy of Sciences and held the presidency of the Polish Mathematical Society from 1961 to 1963.
Fast facts
- Born: 6 February 1884, Pysznica
- Died: 3 January 1972, Wrocław
- Primary Field: Differential Geometry
- Key Contribution: Lie derivative (1931)
- Auschwitz prisoner number: 79053
- President of Polish Mathematical Society: 1961–1963
- Burial site: Holy Family Cemetery
- Awards: Commander of the Order of Polonia Restituta
Questions readers ask
What is the Lie derivative?
It is a differential operator that evaluates the change of tensor fields, such as vector fields or scalar functions, along the flow defined by another vector field.
Which universities employed him?
He held positions at the University of Wrocław, the Wrocław University of Technology, the University of Warsaw, and the University of Poznań.
Achievements
- Commander of the Order of Polonia Restituta
- Held posts at University of Wrocław and Adam Mickiewicz University in Poznań
