Skip to content
ontologydriven
Sign out

Dictionary

Words, grammatical forms and meanings linked to the ontology.

nonsqueezing en · ADJ

Pronunciation

Etymology

From non- + squeezing.

Meanings

  1. (not-comparable) Being or relating to the theorem in symplectic geometry stating that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of the sphere is less than or equal to the radius of the cylinder.
    • Relying on Gromov's nonsqueezing theorem for finite dimensional Hamiltonian systems, the argument is to approximate the solutions to the original infinite dimensional Hamiltonian system by a frequency truncated finite dimensional system, and then the nonsqueezing property is transferred to the infinite dimensional system. 2015, Sunghyun Hong, Soonsik Kwon, “Nonsqueezing property of the coupled KdV type system without Miura transform”, in arXiv: