Pyotr Konstantinowitsch Raschewski

Pjotr ​​Konstantinowitsch Raschewski , Russian Пётр Константинович Рашевский (born July 27, 1907 in Moscow ; † 1983 ibid) was a Russian mathematician who dealt with geometry.

He was the son of Konstantin Nikolajewitsch Raschewski (1874-1956), an author of well-known mathematics textbooks in Russia. Raschewski studied from 1923 to 1928 at Lomonossow University in Moscow, where he received his doctorate under Weniamin Kagan in 1931 (candidate title). In 1938 he completed his habilitation ( Russian doctorate ) and became professor of differential geometry at Lomonossow University. He succeeded SP Finikow as Kagan's successor on the chair of geometry at Lomonossow University, where he headed the geometry school founded by Kagan for many years.

In addition to his professorship at Lomonossow University, he taught in Moscow at the Energy Institute (1930 to 1934), at the Pedagogical Institute (from 1931 as a lecturer and from 1934 to 1941 as a professor) and at the Railway Institute .

Raschewski is the author of several textbooks, including on tensor analysis . For many years he worked on working out a tensor-geometric framework for quantum mechanics , which, however, could not prevail among physicists, a defeat from which, according to statements by his student Rosenfeld, he did not recover. But he dealt with many areas of geometry. He developed a polymetric geometry (about which he wrote a book in 1941) and dealt with the geometry of homogeneous spaces, the geometry of Liescher groups and the related theory of symmetrical spaces (after Élie Cartan ).

Independently, but before Katsumi Nomizu , he introduced reductive spaces into differential geometry (spaces with an affine connection and covariant constant curvature and torsion tensor ). In sub-Riemannian geometry, Chow and Raschewski's theorem is named after him and Wei-Liang Chow (for the formulation see the article Wei-Liang Chow).

Fonts

• Elementary introduction to tensor calculus (= university books for mathematics . Vol. 42). German Science Publishers, Berlin 1959.
• Riemannian geometry and tensor analysis. Deutscher Verlag der Wissenschaften, Berlin 1959. 2nd edition, Harri Deutsch 1995 (Russian 1953).

source

• Smilka Zdravkovska, Peter L. Duren (ed.): Golden Years of Moscow Mathematics , American Mathematical Society 2007, article BA Rosenfeld, pp. 86–88: [1]
• Gottwald, Ilgauds, Schlote Lexicon of important mathematicians , Bibliographisches Institut, Leipzig 1990

References

1. ↑ after tensor analysis had already proven to be the basis of general relativity