Concepedia

Area Theorems

Area Theorems is a singular academic construct in plane geometry comprising a set of formally proven propositions that establish relationships between geometric figures based on their measurable surface extents, distinguished by their focus on area-preserving properties, equivalences, and inequalities under specific transformations or decompositions.

283

Publications

10.2K

Citations

387

Authors

242

Institutions

Publications per year

2017–2026

21

Parents

Publications

283

On the First Variation of a Varifold

William K. Allard · Annals of Mathematics · 1972 · 836 citations

, , +10

The Surveyor's Area Formula

Bart Braden · College Mathematics Journal · 1986 · 274 citations

, , +5

Universal behaviour in families of area-preserving maps

J. M. Greene, Robert S. MacKay, Franco Vivaldi et al. · Physica D Nonlinear Phenomena · 1981 · 217 citations

, , +7

The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

Herbert Fédérer · Bulletin of the American Mathematical Society · 1970 · 204 citations · Full text

, , +6

Surface bodies and p-affine surface area

Carsten Schütt, Elisabeth M. Werner · Advances in Mathematics · 2003 · 168 citations

, , +11

1–5 of 283

Authors

387

  1. EM
    Elisabeth M. Werner

    Case Western Reserve University, United States

    6 publications · 396 citations

    6

    h-index

  2. FM
    Frank Morgan

    Williams College, United States

    6 publications · 179 citations

    6

    h-index

  3. SB
    Simon Brendle

    Stanford University, United States

    4 publications · 189 citations

    4

    h-index

  4. JH
    Joel Hass

    University of California, Davis, United States

    4 publications · 132 citations

    4

    h-index

  5. AN
    André Neves

    University of Cambridge, United Kingdom

    4 publications · 158 citations

    4

    h-index

1–5 of 387

Institutions

242

  1. Stanford University

    Stanford, United States

    10 h-index

    11 publications

    385 citations

  2. New York University

    New York, United States

    7 h-index

    8 publications

    291 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    6 h-index

    6 publications

    164 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    5 publications

    123 citations

  5. Case Western Reserve University

    Cleveland, United States

    5 h-index

    6 publications

    504 citations

  6. Duke University

    Durham, United States

    5 h-index

    6 publications

    214 citations

  7. Courant Institute of Mathematical Sciences

    New York, United States

    4 h-index

    5 publications

    119 citations

  8. University of Washington

    Seattle, United States

    4 h-index

    5 publications

    103 citations

1–8 of 242

Venues

  1. Pacific Journal of Mathematics

    12 publications · 380 citations

    12

    h-index

  2. Annals of Mathematics

    11 publications · 1.2K citations

    11

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 11 publications · 306 citations

    11

    h-index

  4. American Mathematical Monthly

    10 publications · 272 citations

    10

    h-index

  5. American Journal of Mathematics

    7 publications · 288 citations

    7

    h-index

1–5