Sectional bodies associated with a convex body
Fradelizi, Matthieu
HAL, hal-00693806 / Harvested from HAL
Text on HAL
We define the sectional bodies associated to a convex body in R-n and two related measures of symmetry. These definitions extend those of Grunbaum (1963). As Grunbaum conjectured, we prove that the simplices are the most dissymmetrical convex bodies with respect to these measures. In the case when the convex body has a sufficiently smooth boundary, we investigate some limit behaviours of the volume of the sectional bodies.
Publié le : 2000-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693806,
     author = {Fradelizi, Matthieu},
     title = {Sectional bodies associated with a convex body},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693806}
}

Fradelizi, Matthieu. Sectional bodies associated with a convex body. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693806/