Abstract
Sharp $L_p$ affine isoperimetric inequalities are established for the entire class of $L_p$ projection bodies and the entire class of $L_p$ centroid bodies. These new inequalities strengthen the $L_p$ Petty projection and the $L_p$ Busemann–Petty centroid inequality.
Citation
Christoph Haberl. Franz E. Schuster. "General $L_p$ affine isoperimetric inequalities." J. Differential Geom. 83 (1) 1 - 26, September 2009. https://doi.org/10.4310/jdg/1253804349
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