GL(n) CONTRAVARIANT MINKOWSKI VALUATIONS

被引:0
|
作者
Schuster, Franz E. [1 ]
Wannerer, Thomas [1 ]
机构
[1] Vienna Univ Technol, Inst Discrete Math & Geometry, A-1040 Vienna, Austria
基金
奥地利科学基金会;
关键词
INVARIANT VALUATIONS; CONVEX; BODIES; ENDOMORPHISMS; INEQUALITIES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A complete classification of all continuous GL(n) contravariant Minkowski valuations is established. As an application we present a family of sharp isoperimetric inequalities for such valuations which generalize the classical Petty projection inequality.
引用
收藏
页码:815 / 826
页数:12
相关论文
共 50 条
  • [21] Minkowski valuations on convex functions
    Andrea Colesanti
    Monika Ludwig
    Fabian Mussnig
    Calculus of Variations and Partial Differential Equations, 2017, 56
  • [22] Fixed points of Minkowski valuations
    Ortega-Moreno, Oscar
    Schuster, Franz E.
    ADVANCES IN MATHEMATICS, 2021, 392
  • [23] MINKOWSKI VALUATIONS ON Lp-SPACES
    Tsang, Andy
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (12) : 6159 - 6186
  • [24] Minkowski Valuations in Affine Convex Geometry
    Henkel, Jakob
    Wannerer, Thomas
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024,
  • [25] Minkowski valuations under volume constraints
    Abardia-Evequoz, Judit
    Colesanti, Andrea
    Gomez, Eugenia Saorin
    ADVANCES IN MATHEMATICS, 2018, 333 : 118 - 158
  • [26] LOG-CONCAVITY PROPERTIES OF MINKOWSKI VALUATIONS
    Berg, Astrid
    Parapatits, Lukas
    Schuster, Franz E.
    Weberndorfer, Manuel
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (07) : 5245 - 5277
  • [27] The hierarchy of Minkowski valuations and the morphometry of cosmic structure
    Beisbart, C
    Schmalzing, J
    Kerscher, M
    MINING THE SKY, 2001, : 276 - 282
  • [28] Minkowski valuations intertwining with the special linear group
    Haberl, Christoph
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2012, 14 (05) : 1565 - 1597
  • [29] On Monotone Translation–Projection Covariant Minkowski Valuations
    Yun Xu
    Qi Guo
    Discrete & Computational Geometry, 2021, 65 : 713 - 729
  • [30] SL(2) intertwining Minkowski valuations in the plane
    Leng, Gangsong
    Ma, Liangying
    ADVANCES IN APPLIED MATHEMATICS, 2021, 130