General Lp affine isoperimetric inequalities

Details General Lp affine isoperimetric inequalities General Lp affine isoperimetric inequalities

2008-09-11

arxiv.org/abs/0809.1983v1

Mathematics

Differential Geometry

Scientific paper

Sharp Lp affine isoperimetric inequalities are established for the entire
class of Lp projection bodies and the entire class of Lp centroid bodies. These
new inequalities strengthen the Lp Petty projection and the Lp Busemann--Petty
centroid inequality.

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