Comparing the M-position with some classical positions of convex bodies Academic Article uri icon

abstract

  • The purpose of this paper is to compare some classical positions of convex bodies. We provide exact quantitative results which show that the minimal surface area position and the minimal mean width position are not necessarily M-positions. We also construct examples of unconditional convex bodies of minimal surface area that exhibit the worst possible behavior with respect to their mean width or their minimal hyperplane projection. © Copyright Cambridge Philosophical Society 2011.

author list (cited authors)

  • MARKESSINIS, E., PAOURIS, G., & SAROGLOU, C. H.

citation count

  • 4

publication date

  • October 2011