Concepedia

Immersion Theory

Immersion Theory is a mathematical framework within differential topology that classifies smooth maps between manifolds by characterizing those immersions which preserve local differential structure through injective differentials, distinguishing it from general smooth mappings by its focus on local embedding properties without requiring global injectivity.

385

Publications

18.6K

Citations

456

Authors

253

Institutions

Publications per year

2017–2026

22

Parents

Publications

385

The Imbedding Problem for Riemannian Manifolds

John C. Nash · Annals of Mathematics · 1956 · 995 citations

, , +10

The Existence of Minimal Immersions of 2-Spheres

J. Sacks, Karen Uhlenbeck · Annals of Mathematics · 1981 · 886 citations

, , +8

Minimal immersions of Riemannian manifolds

Tsunero Takahashi · Journal of the Mathematical Society of Japan · 1966 · 505 citations · Full text

, , +10

Immersions of manifolds

Morris W. Hirsch · Transactions of the American Mathematical Society · 1959 · 501 citations · Full text

, , +5

Isometric immersions of Riemannian manifolds

Hideki Omori · Journal of the Mathematical Society of Japan · 1967 · 497 citations · Full text

, , +10

1–5 of 385

Authors

456

  1. BC
    Bang‐Yen Chen

    Michigan State University, United States

    13 publications · 731 citations

    12

    h-index

  2. AS
    András Szücs

    Eötvös Loránd University, Hungary

    7 publications · 118 citations

    7

    h-index

  3. MD
    Marcos Dajczer

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    5 publications · 96 citations

    5

    h-index

  4. PH
    Philip Hartman

    Johns Hopkins University, United States

    5 publications · 165 citations

    5

    h-index

  5. BO
    Barrett O’Neill

    University of California, Los Angeles, United States

    5 publications · 251 citations

    5

    h-index

1–5 of 456

Institutions

253

  1. Michigan State University

    East Lansing, United States

    11 h-index

    13 publications

    812 citations

  2. Eötvös Loránd University

    Budapest, Hungary

    8 h-index

    8 publications

    135 citations

  3. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    8 h-index

    11 publications

    187 citations

  4. Brown University

    Providence, United States

    7 h-index

    8 publications

    353 citations

  5. Tohoku University

    Sendai, Japan

    6 h-index

    7 publications

    297 citations

  6. Northwestern University

    Evanston, United States

    5 h-index

    5 publications

    123 citations

  7. University of Pittsburgh

    Pittsburgh, United States

    4 h-index

    5 publications

    147 citations

  8. Stanford University

    Stanford, United States

    4 h-index

    4 publications

    90 citations

1–8 of 253

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 30 publications · 1.6K citations

    18

    h-index

  2. Journal of Differential Geometry

    20 publications · 1.6K citations

    17

    h-index

  3. Annals of Mathematics

    15 publications · 3.7K citations

    15

    h-index

  4. Pacific Journal of Mathematics

    13 publications · 675 citations

    12

    h-index

  5. Commentarii Mathematici Helvetici

    CMH · 12 publications · 322 citations

    11

    h-index

1–5