Concepedia

Cr Geometry

CR Geometry is a branch of differential geometry that studies the intrinsic geometric structures of real submanifolds in complex manifolds, distinguished by the presence of a formally integrable system of complex vector fields satisfying the Cauchy-Riemann equations.

287

Publications

10.3K

Citations

251

Authors

182

Institutions

Publications per year

2017–2026

20

Variants

Cauchy-riemann Geometry

Parents

Publications

287

The Yamabe problem on CR manifolds

David Jerison, John M. Lee · Journal of Differential Geometry · 1987 · 338 citations · Full text

, , +7

Diffeomorphisms of the 2-sphere

Stephen T. Smale · Proceedings of the American Mathematical Society · 1959 · 297 citations · Full text

, , +6

Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds

Bang‐Yen Chen · Monatshefte für Mathematik · 2001 · 287 citations

, , +8

Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem

David Jerison, John M. Lee · Journal of the American Mathematical Society · 1988 · 286 citations

, , +11

Psuedo-Einstein Structures on CR Manifolds

John M. Lee · American Journal of Mathematics · 1988 · 247 citations

, , +14

1–5 of 287

Authors

251

  1. PE
    Peter Ebenfelt

    University of California San Diego, United States

    14 publications · 751 citations

    13

    h-index

  2. MS
    M. S. Baouendi

    University of California San Diego, United States

    12 publications · 741 citations

    11

    h-index

  3. LP
    Linda Preiss Rothschild

    University of California San Diego, United States

    11 publications · 631 citations

    10

    h-index

  4. DZ
    Dmitri Zaitsev

    Trinity College Dublin, Ireland

    9 publications · 434 citations

    9

    h-index

  5. JM
    John M. Lee

    University of Toronto, Canada

    7 publications · 1.2K citations

    7

    h-index

1–5 of 251

Institutions

182

  1. University of California San Diego

    San Diego, United States

    13 h-index

    21 publications

    1.4K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    14 publications

    301 citations

  3. Rutgers, The State University of New Jersey

    New Brunswick, United States

    9 h-index

    12 publications

    444 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    7 h-index

    9 publications

    215 citations

  5. Humboldt-Universität zu Berlin

    Berlin, Germany

    7 h-index

    7 publications

    161 citations

  6. Princeton University

    Princeton, United States

    7 h-index

    10 publications

    627 citations

  7. Institute of Mathematics, Academia Sinica

    Taipei, Taiwan

    6 h-index

    8 publications

    143 citations

  8. University of Michigan

    Ann Arbor, United States

    6 h-index

    8 publications

    262 citations

1–8 of 182

Venues

  1. Journal of Differential Geometry

    16 publications · 1.1K citations

    14

    h-index

  2. Inventiones mathematicae

    11 publications · 397 citations

    11

    h-index

  3. Journal of Geometric Analysis

    13 publications · 254 citations

    11

    h-index

  4. American Journal of Mathematics

    10 publications · 601 citations

    10

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 10 publications · 191 citations

    10

    h-index

1–5