Alexei Wassiljewitsch Pogorelow

Alexei Vasilievich Pogorelov ( Russian Алексей Васильевич Погорелов , Ukrainian Олексій Васильович Погорєлов / Oleksiy Wassylowytsch Pohorjelow ; * 2. March 1919 in Korocha , Belgorod Oblast ; † 17th December 2002 in Moscow ) was a Soviet mathematician of Russian origin, who worked on geometry.

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From 1937 to 1941 he studied at the University of Kharkiv and then until 1945 at the Zhukovsky Academy of the Air Force in Moscow. After the war he studied further in Moscow with Nikolai Efimov and Alexander Danilowitsch Alexandrow . In 1947 he completed his habilitation in Moscow and returned to Kharkiv University, where he was given the chair of geometry. From 1960 he was at the Institute for Low Temperature Physics in Kharkiv as head of the geometry department in the mathematics department.

Memorial plaque at Kharkiv University

Pogorelow was mainly concerned with geometry, for example the geometry of convex bodies, geometric theory of the Monge-Ampere equations and Hilbert's 4th problem (and brought the related theory to a certain conclusion), but also with applied mathematics (such as the theory thinner Shells in statics, which he also checked in experiments) and even as an engineer with refrigeration technology (cryo-turbo generators). In addition to monographs, he also wrote a geometry school textbook widely used in Russia (1972). Pogorelow proved the regularity of convex surfaces if the metric is regular and the Gaussian curvature is positive.

In 1950 he received the Stalin Prize (State Prize), the Lenin Prize in 1962 and the Lobachevsky Medal in 1959 . He was a member of the Soviet Academy of Sciences (corresponding member since 1960, full member since 1976) and the Ukrainian Academy of Sciences (corresponding member since 1951, full member since 1960).

Fonts

• Extrinsic geometry of convex surfaces, Providence, Rhode Island, American Mathematical Society 1973
• Hilbert's fourth problem, VHWinston, Washington, New York 1979
• The Minkowski Multidimensional Problem, VHWinston, New York 1978
• Topics in the theory of surfaces in elliptic space, Gordon and Breach 1961
• A study of surfaces in elliptic space, New Delhi 1964
• Clear definition of general convex surfaces, Akademie Verlag, Berlin 1956
• The bending of convex surfaces, Akademie Verlag, Berlin 1957
• Monge Ampere equations of elliptic type, Groningen, Noordhoff 1964
• Differential Geometry, Groningen, Noordhoff 1967
• Lectures on the foundations of geometry, Noordhoff 1966
• Shells of positive Gaussian curvature under postcritical conditions, Jerusalem, Israel Program for Scientific Translations
• Bendings of surfaces and stability of shells, American Mathematical Society 1988

Web links

• Literature by and about Alexei Wassiljewitsch Pogorelow in the catalog of the German National Library
• Pogorelow website