Hu, Jiaqi; Xiong, Ge A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. (English) Zbl 1495.52014 Int. Math. Res. Not. 2021, No. 12, 8977-8995 (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52B60 PDFBibTeX XMLCite \textit{J. Hu} and \textit{G. Xiong}, Int. Math. Res. Not. 2021, No. 12, 8977--8995 (2021; Zbl 1495.52014) Full Text: DOI
Liu, Yude; Sun, Qiang; Xiong, Ge Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. (English) Zbl 1479.52015 Adv. Math. 389, Article ID 107902, 29 p. (2021). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 52B60 52A38 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Math. 389, Article ID 107902, 29 p. (2021; Zbl 1479.52015) Full Text: DOI
Hu, Jiaqi; Xiong, Ge; Zou, Du Affine isoperimetric inequalities for intersection mean ellipsoids. (English) Zbl 1431.52007 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 191, 20 p. (2019). Reviewer: George Stoica (Saint John) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{J. Hu} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 191, 20 p. (2019; Zbl 1431.52007) Full Text: DOI
Zou, Du; Xiong, Ge New affine inequalities and projection mean ellipsoids. (English) Zbl 1414.52005 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 44, 18 p. (2019). Reviewer: Thomas Jahn (Chemnitz) MSC: 52A40 46B06 PDFBibTeX XMLCite \textit{D. Zou} and \textit{G. Xiong}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 44, 18 p. (2019; Zbl 1414.52005) Full Text: DOI
Zou, Du; Xiong, Ge The minimal Orlicz surface area. (English) Zbl 1376.52017 Adv. Appl. Math. 61, 25-45 (2014). MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{D. Zou} and \textit{G. Xiong}, Adv. Appl. Math. 61, 25--45 (2014; Zbl 1376.52017) Full Text: DOI
Ge, Xiong; Du, Zou Orlicz mixed quermassintegrals. (English) Zbl 1328.52003 Sci. China, Math. 57, No. 12, 2549-2562 (2014). Reviewer: Horst Martini (Chemnitz) MSC: 52A39 52A40 52A22 PDFBibTeX XMLCite \textit{X. Ge} and \textit{Z. Du}, Sci. China, Math. 57, No. 12, 2549--2562 (2014; Zbl 1328.52003) Full Text: DOI
Xiong, Ge; Cheung, Wing-Sum Chord power integrals and radial mean bodies. (English) Zbl 1142.52006 J. Math. Anal. Appl. 342, No. 1, 629-637 (2008). Reviewer: Tamás Mátrai (Toronto) MSC: 52A20 52A30 52A38 52A40 PDFBibTeX XMLCite \textit{G. Xiong} and \textit{W.-S. Cheung}, J. Math. Anal. Appl. 342, No. 1, 629--637 (2008; Zbl 1142.52006) Full Text: DOI