Lp -dual geominimal surface areas for the general Lp-intersection bodies
Zhonghuan Shen, Yanan Li, Weidong Wang · The Journal of Nonlinear Sciences and Applications · 2017
For \(0 < p < 1\), Haberl and Ludwig defined the notions of symmetric and asymmetric \(L_p\)-intersection bodies. Recently, Wang and Li introduced the general \(L_p\)-intersection bodies. In this paper, we give the \(L_p\)-dual geominimal surface area forms for the extremum values and Brunn-Minkowski type inequality of general \(L_p\)-intersection bodies. Further, combining with the \(L_p\)-dual geominimal surface areas, we consider Busemann-Petty type problem for general \(L_p\)-intersection bodies.