AFFINE ISOPERIMETRIC INEQUALITIES FOR L-p-INTERSECTION BODIES

作者：Lu Fenghong^*; Mao Weihong

来源：Rocky Mountain Journal of Mathematics, 2010, 40(2): 489-500.

DOI：10.1216/RMJ-2010-40-2-489

• L-p-intersection body
• L-p-centroid body
• L-p-projection body
• L-p-Petty projection inequality
• Busemann intersection inequality

An L-p-analog of the Busemann intersection inequality and an L-p-dual analog of the L-p-Petty projection inequality for the L-p-intersection body (p <= -1) are established. Moreover, the Busemann-Petty problem is studied and inequalities for the volume of an L-p-intersection body (p <= -1) are proved.

• 出版日期2010
• 单位上海电力大学; 江苏大学