Mikhail Mikhailovich Postnikov (russian: Михаи́л Миха́йлович По́стников; 27 October 1927 – 27 May 2004) was a Soviet mathematician, known for his work in
algebraic and
differential topology
In mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related field of differential geometry, which ...
.
Biography
He was born in
Shatura
Shatura (russian: Шату́ра) is a town and the administrative center of Shatursky District in Moscow Oblast, Russia, located on Lake Svyatoye east of Moscow. Population:
History
A settlement on the site of modern Shatura has existed si ...
, near
Moscow
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...
. He received his Ph.D. from
Moscow State University
M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
under the direction of
Lev Pontryagin
Lev Semenovich Pontryagin (russian: Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin) (3 September 1908 – 3 May 1988) was a Soviet mathematician. He was born in Moscow and lost his eyesight completely due ...
, and then became a professor at this university. He died in Moscow.
Selected publications
* ''Fundamentals of Galois theory'', 1961; 142 pp
Dover reprint, 2004* ''The variational theory of geodesics'', Translated from the Russian by Scripta Technica, Inc. Edited by Bernard R. Gelbaum. Saunders, Philadelphia, Pa., 1967; 200 pp.
* ''Linear algebra and differential geometry''. Translated from the Russian by Vladimir Shokurov.
Mir Publishers
Mir Publishers (russian: Издательство "Мир") was a major publishing house in the Soviet Union which continues to exist in modern Russian Federation. It was established in 1946 by a decree of the USSR Council of Ministers and has he ...
, 1982; 319 pp.
* ''Smooth manifolds'', Mir Publishers, 1989; 511 pp.
''Geometry VI: Riemannian Geometry'' Springer, 2001, 504 pp.
French
* ''Leçons de géométrie : Semestre I : Géométrie analytique'', Éditions Mir, 1981; 279 pp.
* ''Leçons de géométrie : Semestre II : Algèbre linéaire et géométrie différentielle'', Éditions Mir, 1981; 263 pp.
* ''Leçons de géométrie : Semestre III : Variétés différentiables'', Éditions Mir, 1990; 431 pp.
* ''Leçons de géométrie : Semestre IV : Géométrie différentielle'', Éditions Mir, 1990; 439 pp.
* ''Leçons de géométrie : Semestre V : Groupes et algèbres de Lie'', Éditions Mir, 1985; 374 pp.
See also
*
Postnikov system
In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space's homotopy groups using an inverse system of topological spaces whose homotopy type at degree k agrees with th ...
*
Postnikov square
References
Bibliography
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1927 births
2004 deaths
20th-century Russian mathematicians
Topologists
Soviet mathematicians
Perm State University alumni
Moscow State University alumni
People from Shatursky District
{{Russia-mathematician-stub