Inequalities for general mixed affine surface areas

Details Inequalities for general mixed affine surface areas Inequalities for general mixed affine surface areas

2011-12-21

arxiv.org/abs/1112.5129v1

Journal of London Mathematics Society, 85 (2012) 101-120

Mathematics

Metric Geometry

Scientific paper

10.1112/jlms/jdr043

Several general mixed affine surface areas are introduced. We prove some
important properties, such as, affine invariance, for these general mixed
affine surface areas. We also establish new Alexandrov-Fenchel type
inequalities, Santal\'{o}-type inequalities, and affine isoperimetric
inequalities for these general mixed affine surface areas.

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