Concepedia

Non-squeezing Theorem

The Non-Squeezing Theorem is a fundamental result in symplectic geometry that asserts that a ball in a symplectic vector space cannot be symplectically embedded into a cylinder of smaller radius, thereby revealing an inherent rigidity of symplectic transformations.

18

Publications

859

Citations

21

Authors

17

Institutions

Publications per year

2017–2026

3

Variants

Gromov's Non-squeezing Theorem

Parents

Publications

18

The Geometry of Symplectic Energy

François Lalonde, Dusa McDuff · Annals of Mathematics · 1995 · 247 citations

, , +10

Geometry of contact transformations and domains: orderability versus squeezing

Yakov Eliashberg, Sang Seon Kim, Leonid Polterovich · Geometry & Topology · 2006 · 164 citations · Full text

, , +12

Symplectic topology as the geometry of action functional. I. Relative Floer theory on the cotangent bundle

Yong‐Geun Oh · Journal of Differential Geometry · 1997 · 82 citations · Full text

, , +12

THE SHARP ENERGY-CAPACITY INEQUALITY

Michael Usher · Communications in Contemporary Mathematics · 2010 · 55 citations

, , +10

A SYMPLECTIC NON-SQUEEZING THEOREM FOR BBM EQUATION

2016 · 43 citations

, , +13

1–5 of 18

Authors

21

  1. SS
    Sheila Sandon

    Instituto Superior Técnico, Portugal

    2 publications · 54 citations

    2

    h-index

  2. YE
    Yakov Eliashberg

    Stanford University, United States

    2 publications · 177 citations

    2

    h-index

  3. SS
    Sang Seon Kim

    Stanford University, United States

    2 publications · 177 citations

    2

    h-index

  4. LP
    Leonid Polterovich

    Tel Aviv University, Israel

    2 publications · 177 citations

    2

    h-index

  5. DM
    Dusa McDuff

    Stony Brook University, United States

    2 publications · 258 citations

    2

    h-index

1–5 of 21

Institutions

17

  1. Instituto Superior Técnico

    Lisbon, Portugal

    2 h-index

    2 publications

    194 citations

  2. Stony Brook University

    Stony Brook, United States

    2 h-index

    3 publications

    505 citations

  3. Université du Québec à Montréal

    Montreal, Canada

    2 h-index

    3 publications

    505 citations

  4. Instituto Politécnico de Lisboa

    Lisbon, Portugal

    2 h-index

    2 publications

    194 citations

  5. Ruhr University Bochum

    Bochum, Germany

    1 h-index

    1 publications

    23 citations

  6. Vrije Universiteit Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    23 citations

  7. ETH Zurich

    Zurich, Switzerland

    1 h-index

    1 publications

    12 citations

  8. Blekinge Institute of Technology

    Karlskrona, Sweden

    1 h-index

    1 publications

    30 citations

1–8 of 17

Venues

  1. arXiv (Cornell University)

    Repository · 4 publications · 72 citations

    4

    h-index

  2. Geometric and Functional Analysis

    GAFA · 2 publications · 34 citations

    2

    h-index

  3. Annals of Mathematics

    1 publications · 247 citations

    1

    h-index

  4. Geometry & Topology

    1 publications · 164 citations

    1

    h-index

  5. Communications in Contemporary Mathematics

    1 publications · 55 citations

    1

    h-index

1–5