Concepedia

Symmetric Spaces

Symmetric Space is a Riemannian manifold in which the geodesic symmetry at every point extends to an isometric involution of the entire manifold, distinguishing it from general homogeneous spaces by possessing a globally defined, point-wise reflective symmetry.

1.4K

Publications

56.9K

Citations

1.4K

Authors

709

Institutions

Publications per year

2017–2026

83

Variants

Symmetric Space

Parents

Publications

1.4K

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures

Alexander Altland, Martin R. Zirnbauer · Physical review. B, Condensed matter · 1997 · 2.4K citations · Full text

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Chiral symmetry breaking from five-dimensional spaces

Leandro Da Rold, Alex Pomarol · Nuclear Physics B · 2005 · 754 citations · Full text

, , +12

Riemannian symmetric superspaces and their origin in random-matrix theory

Journal of Mathematical Physics · 1996 · 593 citations · Full text

, , +16

Orbits and Representations Associated with Symmetric Spaces

Bertram Kostant, Stephen Rallis · American Journal of Mathematics · 1971 · 460 citations

, , +10

On two geometric theta lifts

Jan Hendrik Bruinier, Jens Funke · Duke Mathematical Journal · 2004 · 416 citations · Full text

, , +8

1–5 of 1.4K

Authors

1.4K

  1. FS
    Fedor Sukochev

    UNSW Sydney, Australia

    20 publications · 672 citations

    16

    h-index

  2. SH
    Sigurđur Helgason

    Massachusetts Institute of Technology, United States

    18 publications · 1.6K citations

    16

    h-index

  3. PG
    Peter G. Dodds

    Flinders University, Australia

    15 publications · 733 citations

    14

    h-index

  4. GÓ
    Gestur Ólafsson

    Louisiana State University, United States

    15 publications · 384 citations

    12

    h-index

  5. HS
    Henrik Schlichtkrull

    University of Copenhagen, Denmark

    12 publications · 316 citations

    11

    h-index

1–5 of 1.4K

Institutions

709

  1. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    35 publications

    918 citations

  2. Flinders University

    Adelaide, Australia

    16 h-index

    31 publications

    1.3K citations

  3. Princeton University

    Princeton, United States

    15 h-index

    17 publications

    913 citations

  4. UNSW Sydney

    Sydney, Australia

    15 h-index

    23 publications

    945 citations

  5. Imperial College London

    London, United Kingdom

    13 h-index

    20 publications

    840 citations

  6. Kyoto University

    Kyoto, Japan

    13 h-index

    20 publications

    903 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    17 publications

    2.3K citations

  8. University of Maryland, College Park

    College Park, United States

    13 h-index

    22 publications

    1.1K citations

1–8 of 709

Venues

  1. Journal of Differential Geometry

    50 publications · 2.8K citations

    30

    h-index

  2. Pacific Journal of Mathematics

    42 publications · 1.3K citations

    25

    h-index

  3. Annals of Mathematics

    31 publications · 2.5K citations

    25

    h-index

  4. Journal of Functional Analysis

    44 publications · 1.5K citations

    24

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 51 publications · 1.6K citations

    22

    h-index

1–5