Gromov's Non-Squeezing Theorem and Beltrami Type Equation

Alexandre Sukhov, Alexander Tumanov

Research output: Contribution to journalArticle

Abstract

We introduce a method for constructing J-complex discs. The method only uses the standard scheme for solving the Beltrami equation and the Schauder principle. As an application, we give a short self-contained proof of Gromov's Non-Squeezing Theorem.

Original languageEnglish (US)
Pages (from-to)1898-1905
Number of pages8
JournalCommunications in Partial Differential Equations
Volume39
Issue number10
DOIs
StatePublished - Oct 2014

Fingerprint

Beltrami Equation
Theorem
Standards

Keywords

  • Almost complex structure
  • J-complex disc
  • Symplectic embedding

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Gromov's Non-Squeezing Theorem and Beltrami Type Equation. / Sukhov, Alexandre; Tumanov, Alexander.

In: Communications in Partial Differential Equations, Vol. 39, No. 10, 10.2014, p. 1898-1905.

Research output: Contribution to journalArticle

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