$L_p$ geominimal Gaussian surface area

Mou Shuang

Abstract


This paper deals with   $L_p$ geominimal Gaussian surface area for $p\geq1$. We prove some properties for the $L_p$ geominimal Gaussian surface area, such as, continuity and Santal\'{o} style inequality. Moreover, we obtain the inverse continuity of the $L_p$ geominimal Gaussian surface area.

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