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Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory.
Gromov used this theory to prove a non-squeezing theorem concerning symplectic embeddings of spheres into cylinders. Gromov showed that certain moduli spaces of pseudoholomorphic curves (satisfying additional specified conditions) are compact , and described the way in which pseudoholomorphic curves can degenerate when only finite energy is ...
Mikhail Gromov or Mikhael Gromov (Russian: Михаи́л Гро́мов) may refer to: Mikhael Gromov (mathematician) (Mikhail "Misha" Leonidovich Gromov, born 1943) Mikhail Gromov (aviator) (Mikhail Mikhailovich Gromov, 1899–1985)
The book consists of seventeen expository articles, written by outstanding researchers, on some of the central open problems in the field of mathematics. The book also features an Introduction on John Nash: Theorems and Ideas, by Mikhail Leonidovich Gromov. According to the editors’ Preface, each article is devoted to one open problem or a ...
The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. [1] It was first proven in 1985 by Mikhail Gromov . [ 2 ] The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of ...
In geometric group theory, Gromov's theorem on groups of polynomial growth, first proved by Mikhail Gromov, [1] characterizes finitely generated groups of polynomial growth, as those groups which have nilpotent subgroups of finite index.
Metric Structures for Riemannian and Non-Riemannian Spaces is a book in geometry by Mikhail Gromov. It was originally published in French in 1981 under the title Structures métriques pour les variétés riemanniennes, by CEDIC (Paris).
Erdős in 1992. Paul Erdős (1913–1996) was a Hungarian mathematician. He considered mathematics to be a social activity and often collaborated on his papers, having 511 joint authors, many of whom also have their own collaborators.