Concepedia

Oriented Bundles

Oriented Bundle is a fiber bundle equipped with an orientation-preserving structure group action, such that the transition functions take values in the special orthogonal group, thereby assigning a consistent orientation to each fiber in the bundle.

143

Publications

6.1K

Citations

232

Authors

155

Institutions

Publications per year

2017–2026

11

Variants

Oriented Fiber Bundles

Parents

Publications

143

TANGENT AND COTANGENT BUNDLES

T. J. Willmore · Bulletin of the London Mathematical Society · 1975 · 524 citations

, , +11

Mechanism of retraction of the trailing edge during fibroblast movement.

W T Chen · The Journal of Cell Biology · 1981 · 287 citations · Full text

, , +13

Characteristic classes of surface bundles

Shigeyuki Morita · Inventiones mathematicae · 1987 · 236 citations

, , +16

Spinor bundles on quadrics

Giorgio Ottaviani · Transactions of the American Mathematical Society · 1988 · 166 citations

, , +15

DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS

Oscar Garcı́a-Prada · International Journal of Mathematics · 1994 · 154 citations

, , +10

1–5 of 143

Authors

232

  1. TP
    Thomas Peternell

    University of Bayreuth, Germany

    3 publications · 65 citations

    3

    h-index

  2. SM
    Shigeyuki Morita

    Tokyo Institute of Technology, Japan

    3 publications · 316 citations

    3

    h-index

  3. DF
    Daniele Faenzi

    Université de Pau et des Pays de l'Adour, France

    3 publications · 38 citations

    3

    h-index

  4. GC
    Gianfranco Casnati

    University of Parma, Italy

    3 publications · 41 citations

    3

    h-index

  5. CS
    Christoph Schweigert

    Universität Hamburg, Germany

    2 publications · 103 citations

    2

    h-index

1–5 of 232

Institutions

155

  1. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    18 publications

    482 citations

  2. University of Michigan

    Ann Arbor, United States

    5 h-index

    5 publications

    157 citations

  3. The University of Tokyo

    Tokyo, Japan

    4 h-index

    4 publications

    90 citations

  4. European Organization for Nuclear Research

    Geneva, Switzerland

    3 h-index

    3 publications

    165 citations

  5. Tokyo Metropolitan University

    Tokyo, Japan

    3 h-index

    3 publications

    69 citations

  6. Max Planck Society

    Munich, Germany

    3 h-index

    3 publications

    139 citations

  7. New York University

    New York, United States

    3 h-index

    4 publications

    296 citations

  8. Tokyo Institute of Technology

    Tokyo, Japan

    3 h-index

    3 publications

    316 citations

1–8 of 155

Venues

  1. Inventiones mathematicae

    7 publications · 572 citations

    7

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 7 publications · 334 citations

    7

    h-index

  3. Journal of Geometry and Physics

    7 publications · 186 citations

    7

    h-index

  4. Advances in Mathematics

    5 publications · 173 citations

    5

    h-index

  5. Mathematische Annalen

    5 publications · 197 citations

    5

    h-index

1–5