Concepedia

Monotone Lagrangians

Monotone Lagrangians is a Lagrangian submanifold in a symplectic manifold for which the symplectic area class and the first Chern class are positively proportional via a fixed constant, distinguishing it by a specific rigidity condition within the class of Lagrangian submanifolds.

38

Publications

1.3K

Citations

47

Authors

46

Institutions

Publications per year

2017–2026

5

Parents

Publications

38

Rigid subsets of symplectic manifolds

Michael Entov, Leonid Polterovich · Compositio Mathematica · 2009 · 164 citations · Full text

, , +17

Rigidity and uniruling for Lagrangian submanifolds

Paul Biran, Octav Cornea · Geometry & Topology · 2009 · 142 citations · Full text

, , +15

Quantum Structures for Lagrangian Submanifolds

Paul Biran, Octav Cornea · ArXiv.org · 2007 · 117 citations · Full text

, , +13

Modified Lagrangians and monotone maps in optimization

Computers & Mathematics with Applications · 1996 · 76 citations

, , +11

Notes on monotone Lagrangian twist tori

Felix Schlenk, Yuri Chekanov · Electronic Research Announcements · 2010 · 62 citations · Full text

, , +9

1–5 of 38

Authors

47

  1. PB
    Paul Biran

    Tel Aviv University, Israel

    3 publications · 319 citations

    3

    h-index

  2. LP
    Leonid Polterovich

    Tel Aviv University, Israel

    3 publications · 232 citations

    3

    h-index

  3. OC
    Octav Cornea

    Université de Montréal, Canada

    3 publications · 319 citations

    3

    h-index

  4. MD
    Mihai Damian

    Institut de Recherche Mathématique Avancée, France

    2 publications · 68 citations

    2

    h-index

  5. CW
    Chris Woodward

    Rutgers, The State University of New Jersey, United States

    2 publications · 32 citations

    2

    h-index

1–5 of 47

Institutions

46

  1. Tel Aviv University

    Tel Aviv, Israel

    4 h-index

    4 publications

    469 citations

  2. Université de Montréal

    Montreal, Canada

    3 h-index

    3 publications

    228 citations

  3. ETH Zurich

    Zurich, Switzerland

    2 h-index

    2 publications

    86 citations

  4. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    35 citations

  5. University of Leeds

    Leeds, United Kingdom

    2 h-index

    6 publications

    99 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    3 publications

    65 citations

  7. Berkeley College

    New York, United States

    1 h-index

    1 publications

    24 citations

  8. University of Neuchâtel

    Neuchâtel, Switzerland

    1 h-index

    2 publications

    124 citations

1–8 of 46

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 76 citations

    5

    h-index

  2. Journal of Differential Geometry

    2 publications · 42 citations

    2

    h-index

  3. Journal of Symplectic Geometry

    JSG · 2 publications · 33 citations

    2

    h-index

  4. ArXiv.org

    Repository · 2 publications · 127 citations

    2

    h-index

  5. Geometry & Topology

    2 publications · 168 citations

    2

    h-index

1–5