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11 Facts About Aleksei Pogorelov

1.

Aleksei Pogorelov was born in Korocha in a peasant family.

2.

In 1931, because of the collectivization, the parents of Aleksei Pogorelov escaped from the village to Kharkiv, where his father become a worker at the construction of the Kharkiv tractor plant.

3.

In 1935, Aleksei Pogorelov won the first prize at the Mathematical Olympiad in Kharkiv State University.

4.

Aleksei Pogorelov died on December 17,2002, and was buried in Moscow at the Nikolo-Arkhangelsk cemetery.

5.

Aleksei Pogorelov developed the theory of metric spaces of non-negative curvature, so-called Aleksandrov metric spaces.

6.

Aleksei Pogorelov proved that every metric of non-negative curvature given on a two-dimensional sphere can be isometrically immersed into the three-dimensional Euclidean space in a form of a closed convex surface, but the answers to the following fundamental questions were unknown:.

7.

The theorems proved by Aleksei Pogorelov formed the basis for his nonlinear theory of thin shells.

8.

Aleksei Pogorelov has created the theory of the Monge-Ampere equation by using the geometric methods.

9.

One of the most conceptual works of Aleksei Pogorelov refers to the cycle of works about smooth surfaces of bounded external curvature.

10.

Aleksei Pogorelov found all, up to isomorphism, realizations of the systems of axioms of classical geometries if one omits the congruence axioms containing the concept of angle and supplement these systems with the axiom of "triangle inequality".

11.

Aleksei Pogorelov was one of the first who has proposed a new idea in the construction of a cryoturbogenerator with superconducting field winding and took an active part in technical calculations and creation of corresponding industrial samples.