Pogorelov biography mathematician

Born on March 3, Koroi, Kursk province now - the Belgorod region. The specialist in the field of geometry, the theory of differential equations and the theory of shells died. Born in the family of a worker.

In the city of Zhukovsky, Moscow, which he graduated with honors in the city of in - gg. Pogorelov worked at the Central Aerohydrodynamic Institute. Zhukovsky and at the same time studied in absentee graduate school at Moscow State University with a degree in geometry and topology. A student of N. Efimov, who, together with A. Alexandrov, had a decisive influence on the formation of A.

Pogorelov as a geometer. Having defended the candidate, and a year later, the doctoral dissertations, in G. Pogorelov, taught at Kharkov State University - a professor with G. Pogorelov moved to Moscow, where the field of scientific interests of A. Pogorelov - geometry and the theory of elastic membranes. The main works are geometry. Based on the development of a synthetic approach to the problem of the geometry “as a whole”, proposed by A.

Alexandrov, finally solved the classical problem of unambiguous determination of the convex surface of its internal metric. He proved the external regularity of convex surfaces with regular internal metric. The main theorem proven for this problem was transferred in case of convex surfaces in the spaces of constant curvature. Studied the main problems for infinitely small bending of common convex surfaces; I stood in a three -dimensional Euclidean space the theory of smooth surfaces of limited curvature; He proved the theorems of uniqueness and others.

He owns research on the grounds of geometry. Its results on Christoffel's problem about finding a closed convex surface with a given sum of the main curvus as the functions of normal and the results of the existence, stability and degree of smoothness of the multidimensional equations of Monge -ampere of an elliptical type of general species. Pogorelov completely solved the 4th problem of Hilbert in the following sense: determined with accuracy until isomorphism all the implementation of those systems of the axiom of the classical geometries of the Euclidean, Lobachevsky and Elliptic, in which the axioms of the congruence containing the concept of angle, and which are supplemented by the axioma “inequality of the triangle” are supplemented.

The results of geometric research performed by A. Pogorelov had access to the nonlinear theory of shells, which he developed together with the students. Applied the developed methods of synthetic geometry to the analytical issues of nonlinear differential equations. First of all, it should be noted the development of a nonlinear theory of elastic shells, the solution of the so -called multidimensional problem of Minkovsky about the existence of a closed convex hyperput, which is a given curvature of which is a given function of the external normal.

The calculation data on critical and crotch loads of thin shells found accurate confirmation in laboratory tests. Pogorelov is an author near scientific papers, including: the geometric theory of the stability of the shells; External geometry of convex surfaces; Minkovsky's multidimensional problem; Geometric theory of the stability of the shells; Curbing surfaces and the stability of the membranes and; The fourth problem of Hilbert; Current of surfaces and the stability of the shells, additional.

RAS, t. In years, university textbooks on analytical and differential geometry wrote popularity. In years, he created a set of school textbooks on geometry. He headed the Kharkov mathematical society. He was awarded the International Prize. Lobachevsky was awarded state awards. Alexey Vasilievich Pogorelov is known for his fundamental works in the field of geometry, indicating his wide mathematical horizons.

He also possessed an extraordinary engineering talent, which allowed him to apply developed methods for studying irregular surfaces to the tasks of mechanics, to develop an original geometric approach to the problems of stability of thin elastic shells. He also successfully proved himself in technical creativity. Paid great attention to the problems of teaching mathematics.

It is known for many times reprinted university textbooks on the grounds of geometry, analytical and differential geometry, as well as geometry textbooks for high school. Source: members of the Russian Academy of Sciences at the Mathematical Institute. Steklov RAS. To the summer anniversary of Mian. Biographical dictionary-reference. Under the general editorship of academician V.

Zimin, S. Kislyakov, G. Monkitin, V. Steklov, the Russian Academy of Sciences, -