New L-p affine isoperimetric inequalities

作者：Werner Elisabeth^*; Ye Deping

来源：Advances in Mathematics, 2008, 218(3): 762-780.

DOI：10.1016/j.aim.2008.02.002

• affine surface area
• L-p Brunn Minkowski Theory

We prove new L-p affine isoperimetric inequalities for all p is an element of [-infinity, 1). We establish, for all p not equal -n, a duality formula which shows that Lp affine surface area of a convex body K equals L-n2/p affine surface area of the polar body K degrees.

• 出版日期2008-6-20