• 제목/요약/키워드: Minkowski symmetral

검색결과 1건 처리시간 0.017초

NOTES ON THE MINKOWSKI MEASURE, THE MINKOWSKI SYMMETRAL, AND THE BANACH-MAZUR DISTANCE

  • Huang, Xing
    • 대한수학회지
    • /
    • 제55권3호
    • /
    • pp.695-704
    • /
    • 2018

  • In this paper we derive some basic inequalities connecting the Minkowski measure of symmetry, the Minkowski symmetral and the Banach-Mazur distance. We then explore the geometric contents of these inequalities and shed light on the structure of the quotient 𝔅/Aff of the space of convex bodies modulo the affine transformations.

  • https://doi.org/10.4134/JKMS.j170413 인용 PDF KSCI