Lazar Lyusternik

Lazar Lyusternik
Born	Lazar Aronovich Lyusternik (1899-12-31)31 December 1899 Zduńska Wola, Kalisz Governorate, Congress Poland, Russian Empire
Died	22 July 1981(1981-07-22) (aged 81) Moscow, Soviet Union
Nationality	Soviet Russian
Alma mater	Moscow State University
Scientific career
Fields	Mathematics
Institutions	Moscow State University
Doctoral advisor	Nikolai Luzin
Doctoral students	Abram Ilyich Fet Mark Vishik

Lazar Aronovich Lyusternik (also Lusternik, Lusternick, Ljusternik; Russian: Лазарь Аронович Люстерник; 31 December 1899 – 22 July 1981) was a Soviet mathematician. He is famous for his work in topology and differential geometry, to which he applied the variational principle. Using the theory he introduced, together with Lev Schnirelmann, he proved the theorem of the three geodesics, a conjecture by Henri Poincaré that every convex body in 3-dimensions has at least three simple closed geodesics. The ellipsoid with distinct but nearly equal axis is the critical case with exactly three closed geodesics.

The Lusternik–Schnirelmann theory, as it is called now, is based on the previous work by Poincaré, David Birkhoff, and Marston Morse. It has led to numerous advances in differential geometry and topology. For this work Lyusternik received the Stalin Prize in 1946. In addition to serving as a professor of mathematics at Moscow State University, Lyusternik also worked at the Steklov Mathematical Institute (RAS) from 1934 to 1948 and the Lebedev Institute of Precise Mechanics and Computer Engineering (IPMCE) from 1948 to 1955.

He was a student of Nikolai Luzin. In 1930 he became one of the initiators of the Egorov affair and then one of the participants in the notorious political persecution of his teacher Nikolai Luzin known as the Luzin affair.

• Lusternik–Schnirelmann category
• Lyusternik's generalization of the Brunn–Minkowski theorem

This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Please help improve this article by introducing more precise citations. (September 2015) (Learn how and when to remove this message)

• Pavel Alexandrov et al., LAZAR' ARONOVICH LYUSTERNIK (on the occasion of his 60th birthday), Russ. Math. Surv. 15 (1960), 153–168.
• Pavel Alexandrov, In memory of Lazar Aronovich Lyusternik, Russ. Math. Surv. 37 (1982), 145-147

• Lazar Lyusternik at the Mathematics Genealogy Project

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