Concepedia

Orthogonal Spaces

Orthogonal Spaces is a theoretical framework in incidence geometry that formalizes the structural relationship between subspaces of an incidence structure by defining orthogonality through the intersection properties of their associated flats, distinguished from other spatial frameworks by its reliance on dual complements and symmetric incidence conditions to characterize perpendicularity in abstract geometric settings.

366

Publications

16.5K

Citations

633

Authors

404

Institutions

Publications per year

2017–2026

53

Parents

Publications

366

Microscopic Theory of Superconductivity

J. Bardeen, Leon N. Cooper, J. R. Schrieffer · Physical Review · 1957 · 2.6K citations · Full text

, , +15

Orthogonality and linear functionals in normed linear spaces

Robert C. James · Transactions of the American Mathematical Society · 1947 · 517 citations · Full text

, , +8

Orthogonality in linear metric spaces

Garrett Birkhoff · Duke Mathematical Journal · 1935 · 478 citations

, , +8

Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

James W. York · Journal of Mathematical Physics · 1973 · 443 citations

, , +17

On the conjugacy classes in the unitary, symplectic and orthogonal groups

G. E. Wall · Journal of the Australian Mathematical Society · 1963 · 362 citations · Full text

, , +11

1–5 of 366

Authors

633

  1. MS
    Mohammad Sal Moslehian

    Ferdowsi University of Mashhad, Iran

    3 publications · 50 citations

    3

    h-index

  2. JC
    Jacek Chmieliński

    Uniwersytet Komisji Edukacji Narodowej w Krakowie, Poland

    3 publications · 93 citations

    3

    h-index

  3. JR
    Jürg Rätz

    University of Bern, Switzerland

    3 publications · 198 citations

    3

    h-index

  4. GM
    Gy. M. Szabó

    Konkoly Observatory, Hungary

    3 publications · 64 citations

    3

    h-index

  5. TV
    Thomas Vetterlein

    Johannes Kepler University of Linz, Austria

    3 publications · 45 citations

    3

    h-index

1–5 of 633

Institutions

404

  1. Princeton University

    Princeton, United States

    5 h-index

    5 publications

    690 citations

  2. Rutgers, The State University of New Jersey

    New Brunswick, United States

    5 h-index

    6 publications

    366 citations

  3. University of Southern California

    Los Angeles, United States

    4 h-index

    8 publications

    386 citations

  4. University of Maryland, College Park

    College Park, United States

    4 h-index

    8 publications

    198 citations

  5. Cornell University

    Ithaca, United States

    4 h-index

    4 publications

    103 citations

  6. Johannes Kepler University of Linz

    Linz, Austria

    4 h-index

    6 publications

    330 citations

  7. The University of Sydney

    Sydney, Australia

    4 h-index

    4 publications

    455 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    121 citations

1–8 of 404

Venues

  1. Linear Algebra and its Applications

    17 publications · 470 citations

    13

    h-index

  2. Journal of Algebra

    13 publications · 284 citations

    11

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 9 publications · 765 citations

    9

    h-index

  4. Journal of Combinatorial Theory Series A

    8 publications · 203 citations

    8

    h-index

  5. 7

    h-index

1–5