Lasar Aronowitsch Ljusternik

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Lazar Lyusternik ( Russian Лазарь Аронович Люстерник ; born December 19 . Jul / 31 December  1899 greg. In Zduńska Wola , † 23. July 1981 in Moscow ) was a Soviet mathematician, worked on differential geometry topology and geometry.

Ljusternik received his doctorate in 1926 at the Lomonossow University in Moscow under Nikolai Lusin on direct methods in the calculus of variations.

Ljusternik and Lew Schnirelmann applied variation methods in differential geometry and topology at the end of the 1920s, with which they solved, among other things, an open problem by Henri Poincaré about geodetic curves on closed surfaces. In the same area he made progress with his PhD student Abram Iljitsch Fet (proof of the existence of closed geodesics in compact Riemannian manifolds). In 1946 Ljusternik received the Soviet State Prize for this. He also generalized the Brunn-Minkowski theorem in 1935 and wrote some important papers on functional analysis that made him one of the founders of the Soviet school in the field. After 1942 he was mainly concerned with the theory of algorithms and was head of one of the leading Soviet data centers.

Vladimir Sobolew, with whom he wrote a textbook on functional analysis, is one of his doctoral students. He also wrote a textbook on topological procedures in the calculus of variations and a popular book on simple variational problems.

Fonts

  • Lasar Aronowitsch Ljusternik: Shortest lines - an introduction to the calculus of variations. Berlin, VEB Verlag der Wissenschaften 1957.
  • Lasar Aronowitsch Ljusternik, Wladimir Sobolew: Elements of functional analysis. Berlin, Akademie Verlag 1955, 6th edition, Harri Deutsch 1979.
  • Lasar Aronowitsch Ljusternik: The topology of the calculus of variations in the large. AMS 1966.
  • Lasar Aronowitsch Ljusternik: Convex figures and polyhedra. Boston 1966.

literature

  • Pawel Alexandrow and others: LA Ljusternik (on his 60th birthday), Russian Mathematical Surveys, Vol. 15, 1960, p. 153, and Alexandrow, Andrei Kolmogorow and others in Vol. 35, 1980 (on his 80th birthday), and Alexandrov obituary in Vol. 37, 1982, p. 145.

Web links

personal data
SURNAME Ljusternik, Lasar Aronowitsch
ALTERNATIVE NAMES Люстерник, Лазарь Аронович (Russian)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH December 31, 1899
PLACE OF BIRTH Zduńska Wola
DATE OF DEATH July 23, 1981
Place of death Moscow