Abram Ilyich Fet

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Abram Ilyich Fet, 2006

Abram Ilyich Fet ( Russian Абрам Ильич Фет ; * December 5, 1924 in Odessa ; † July 30, 2007 in Novosibirsk ) was a Soviet philosopher, dissident and mathematician who dealt with differential geometry .

Fet was the son of a doctor. The family moved several times during the great famine in Ukraine and settled in Odessa in 1936 , where Fet graduated from high school at the age of 15. He was studying communications engineering in Odessa when the German-Soviet War began in 1941 . The family was evacuated to the Tomsk region , where Fet began studying mathematics that same year. On the advice of Professor Pyotr Konstantinowitsch Raschewski , who was evacuating to Siberia , he continued his studies in Moscow in 1946 , where he attended seminars by Israel Gelfand , Lev Pontryagin and Pyotr Sergeyevich Novikov . He turned to topology and received his doctorate in 1948 under Lasar Aronowitsch Ljusternik at Lomonossow University ( A homology ring of the space of closed curves on the sphere ). After that he was a lecturer and later an assistant professor at Tomsk University , where Viktor Andreevich Toponogow was his doctoral student. From 1955 he taught at schools in Novosibirsk and from 1960 he was at the newly established Institute of Mathematics of the Siberian Department of the Soviet Academy of Sciences in Novosibirsk and was a professor at the Novosibirsk State University .

After he signed an open letter in favor of incarcerated dissidents in 1968 (and because of his critical stance, for example, on the privileges of academics in the academic city of Akademgorodok ), he was dismissed from all his posts and made do with technical translations. As early as the 1960s, for example, he translated the works of Konrad Lorenz for the underground press ( samizdat ), which later officially appeared in Russia, and psychological works (by Erich Fromm , Eric Berne , Karen Horney and others). He turned to the application of group theory in elementary particle physics and to the periodic table and published on this with the physicist Juri Borissowitsch Rumer . This led to his employment at the Institute of Inorganic Chemistry in Novosibirsk under AW Nikolayev. A monograph on group theory and the periodic table ( A Symmetry Group of Chemical Elements ) was stopped from printing in 1984 and in 1986 he lost his post again for political reasons. He began his work as a translator again and published samizdat writings, for example about the turnaround in Poland through the Solidarność movement.

His articles for the samizdat press appeared under pseudonyms such as AN Klenow, AB Nasywajew, DA Rassudin, AI Fedorow. He later published anthropological and cultural-philosophical books in which, among other things, he sought to demonstrate a human instinct for social cooperation (intraspecific solidarity, as he called it).

As a mathematician, he dealt with differential geometry on a large scale, topology and calculus of variations. With Ljusternik he proved in 1951 that a compact Riemannian manifold has at least one closed geodetic line (in 1965 he proved the existence of two different closed geodetic lines under the assumption that all closed geodetic lines are not degenerate).

Fonts

  • with Rumer: The Theory of Unitarian Symmetry (Russian), Moscow 1970
  • with Rumer: Group theory and quantum field theory (Russian), Moscow 1977
  • Group Spin- (4) and the Periodic Table , Theoretical and Mathematical Physics, Volume 9, 1971
  • The Polish Revolution , 1985 (published anonymously in London and Paris)
  • Pythagoras and the Monkey (Russian), 1987
  • Letters from Russia (1989–1991), (Russian)
  • Deceptions of Capitalism (Russian)
  • The Fatal Deception of Professor Hayek 1996 (Russian)
  • Instinct and social behavior , Novosibirsk 2005, 2nd edition 2008
  • Group Theory of Chemical Elements. Structure and Properties of Elements and Compounds , De Gruyter 2016

Web links

Individual evidence

  1. Wolfgang Klingenberg: Lectures on closed geodesics , Springer, Grundlehren der Mathematischen Wissenschaften 1978, p. 122
  2. Lyusternik, Fet: Variation Problems on Closed Manifolds (Russian), Docl. Akad. Nauka SSSR, Volume 81, 1951, pp. 17-18
  3. ^ Fet: A periodic problem in the calculus of variations (Russian), Docl. Akad. Nauka SSSR, Volume 160, 1965, pp. 287-289, English: Soviet Mathematics, Volume 6, 1965, pp. 85-88