Concepedia

Reduction Of Structure Group

Reduction of Structure Group is a fundamental construction in fiber bundle theory whereby the structure group of a principal bundle is reduced to a subgroup, such that the transition functions of the bundle can be consistently expressed in terms of elements of the smaller group, thereby inducing a subbundle with the reduced group as its structure group.

18

Publications

622

Citations

35

Authors

21

Institutions

Publications per year

2017–2026

0

Parents

Publications

18

The Theory of Group-Reduced Distributions

J. Howard Redfield · American Journal of Mathematics · 1927 · 213 citations

, , +10

Consistent group and coset reductions of the bosonic string

Mirjam Cveti, G. W. Gibbons, H. Lü et al. · Classical and Quantum Gravity · 2003 · 71 citations · Full text

, , +13

Differentiable solutions of algebraic equations on manifolds

Samuel I. Goldberg, Nicholas C. Petridis · Kodai Mathematical Journal · 1973 · 43 citations · Full text

, , +13

Monodromy group for a strongly semistable principal bundle over a curve

Indranil Biswas, A. J. Parameswaran, S. Subramanian · Duke Mathematical Journal · 2006 · 37 citations

, , +9

Reduction in integrable systems. The reduction group

А. В. Михайлов · 1980 · 35 citations

, , +11

1–5 of 18

Authors

35

  1. SS
    S. Subramanian

    Tata Institute of Fundamental Research, India

    1 publications · 37 citations

    1

    h-index

  2. MČ
    Martin Čadek

    Masaryk University, Czechia

    1 publications · 11 citations

    1

    h-index

  3. АВ
    А. В. Михайлов

    1 publications · 35 citations

    1

    h-index

  4. RD
    Ronnie Dickson

    University of Missouri, United States

    1 publications · 23 citations

    1

    h-index

  5. MC
    M. C. Crabb

    University of Aberdeen, United Kingdom

    1 publications · 11 citations

    1

    h-index

1–5 of 35

Institutions

21

  1. Mitchell Institute

    Portland, United States

    1 h-index

    2 publications

    142 citations

  2. Sultan Qaboos University

    Muscat, Oman

    1 h-index

    1 publications

    20 citations

  3. Masaryk University

    Brno, Czechia

    1 h-index

    1 publications

    11 citations

  4. Institute of Mathematics

    Kyiv, Ukraine

    1 h-index

    1 publications

    24 citations

  5. Institute for Nuclear Research and Nuclear Energy

    Sofia, Bulgaria

    1 h-index

    2 publications

    60 citations

  6. Universidad Carlos III de Madrid

    Madrid, Spain

    1 h-index

    1 publications

    14 citations

  7. University of Aberdeen

    Aberdeen, United Kingdom

    1 h-index

    1 publications

    11 citations

  8. University of Bucharest

    Bucharest, Romania

    1 h-index

    1 publications

    13 citations

1–8 of 21

Venues

  1. arXiv (Cornell University)

    Repository · 1 publications · 10 citations

    1

    h-index

  2. Journal of Physics A Mathematical and General

    1 publications · 13 citations

    1

    h-index

  3. Duke Mathematical Journal

    DMJ · 1 publications · 37 citations

    1

    h-index

  4. Journal of the Mathematical Society of Japan

    1 publications · 16 citations

    1

    h-index

  5. 1

    h-index

1–5