Kryvonos, Liudmyla; Langharst, Dylan Weighted Minkowski’s existence theorem and projection bodies. (English) Zbl 1527.52007 Trans. Am. Math. Soc. 376, No. 12, 8447-8493 (2023). MSC: 52A39 52A40 52A21 49J10 PDFBibTeX XMLCite \textit{L. Kryvonos} and \textit{D. Langharst}, Trans. Am. Math. Soc. 376, No. 12, 8447--8493 (2023; Zbl 1527.52007) Full Text: DOI arXiv
Aishwarya, Gautam; Alam, Irfan; Li, Dongbin; Myroshnychenko, Sergii; Zatarain-Vera, Oscar Entropic exercises around the Kneser-Poulsen conjecture. (English) Zbl 1522.94018 Mathematika 69, No. 3, 841-866 (2023). MSC: 94A15 94A17 52A20 PDFBibTeX XMLCite \textit{G. Aishwarya} et al., Mathematika 69, No. 3, 841--866 (2023; Zbl 1522.94018) Full Text: DOI arXiv OA License
Milman, Emanuel; Yehudayoff, Amir Sharp isoperimetric inequalities for affine quermassintegrals. (English) Zbl 1519.52005 J. Am. Math. Soc. 36, No. 4, 1061-1101 (2023). MSC: 52A40 PDFBibTeX XMLCite \textit{E. Milman} and \textit{A. Yehudayoff}, J. Am. Math. Soc. 36, No. 4, 1061--1101 (2023; Zbl 1519.52005) Full Text: DOI arXiv
Wu, Denghui; Guo, Peilin; Bu, Zhen-Hui Sylvester-Busemann type functionals with respect to Orlicz centroid bodies. (English) Zbl 1514.52005 J. Geom. Anal. 33, No. 6, Paper No. 197, 17 p. (2023). MSC: 52A20 26B25 46B06 PDFBibTeX XMLCite \textit{D. Wu} et al., J. Geom. Anal. 33, No. 6, Paper No. 197, 17 p. (2023; Zbl 1514.52005) Full Text: DOI
Artstein-Avidan, Shiri; Sadovsky, Shay; Sanyal, Raman Geometric inequalities for anti-blocking bodies. (English) Zbl 1517.52004 Commun. Contemp. Math. 25, No. 3, Article ID 2150113, 30 p. (2023). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 52A39 06A07 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} et al., Commun. Contemp. Math. 25, No. 3, Article ID 2150113, 30 p. (2023; Zbl 1517.52004) Full Text: DOI arXiv
Hafver, Andreas; Agrell, Christian; Vanem, Erik Environmental contours as Voronoi cells. (English) Zbl 07563221 Extremes 25, No. 3, 451-486 (2022). MSC: 62Exx PDFBibTeX XMLCite \textit{A. Hafver} et al., Extremes 25, No. 3, 451--486 (2022; Zbl 07563221) Full Text: DOI arXiv
Saroglou, Christos On a non-homogeneous version of a problem of Firey. (English) Zbl 07503452 Math. Ann. 382, No. 3-4, 1059-1090 (2022). MSC: 35J96 PDFBibTeX XMLCite \textit{C. Saroglou}, Math. Ann. 382, No. 3--4, 1059--1090 (2022; Zbl 07503452) Full Text: DOI arXiv
Hosle, Johannes On the comparison of measures of convex bodies via projections and sections. (English) Zbl 1486.52020 Int. Math. Res. Not. 2021, No. 17, 13046-13074 (2021). MSC: 52A40 28A75 PDFBibTeX XMLCite \textit{J. Hosle}, Int. Math. Res. Not. 2021, No. 17, 13046--13074 (2021; Zbl 1486.52020) Full Text: DOI arXiv
Chen, Bin; Wang, Weidong; Zhao, Peibiao Shephard type problem for \(L_p\)-mixed Blaschke-Minkowski homomorphisms. (English) Zbl 1491.52006 Quaest. Math. 44, No. 9, 1219-1232 (2021). Reviewer: Lienhard Wimmer (Isny) MSC: 52A20 52A40 52A39 PDFBibTeX XMLCite \textit{B. Chen} et al., Quaest. Math. 44, No. 9, 1219--1232 (2021; Zbl 1491.52006) Full Text: DOI
Rebollo Bueno, Jesus Stochastic reverse isoperimetric inequalities in the plane. (English) Zbl 1491.52008 Geom. Dedicata 215, 401-413 (2021). Reviewer: Lienhard Wimmer (Isny) MSC: 52A22 60D05 PDFBibTeX XMLCite \textit{J. Rebollo Bueno}, Geom. Dedicata 215, 401--413 (2021; Zbl 1491.52008) Full Text: DOI arXiv
Wu, Denghui; Bu, Zhen-Hui A variant of the \(L_p\)-Shephard problem via \((p,q)\)-projection bodies. (English) Zbl 1471.52005 J. Math. Anal. Appl. 504, No. 2, Article ID 125411, 23 p. (2021). MSC: 52A20 42B10 52A38 PDFBibTeX XMLCite \textit{D. Wu} and \textit{Z.-H. Bu}, J. Math. Anal. Appl. 504, No. 2, Article ID 125411, 23 p. (2021; Zbl 1471.52005) Full Text: DOI
Feng, Yibin; Zhou, Yanping General \((p,q)\)-mixed projection bodies. (English) Zbl 1478.52002 Open Math. 18, 970-982 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{Y. Zhou}, Open Math. 18, 970--982 (2020; Zbl 1478.52002) Full Text: DOI
Chen, Fangwei; Yang, Congli A new proof of the Orlicz-Lorentz centroid inequality. (English) Zbl 1499.52009 J. Inequal. Appl. 2019, Paper No. 12, 12 p. (2019). MSC: 52A40 52A20 52A39 52A38 46E30 PDFBibTeX XMLCite \textit{F. Chen} and \textit{C. Yang}, J. Inequal. Appl. 2019, Paper No. 12, 12 p. (2019; Zbl 1499.52009) Full Text: DOI
Zhang, Zengle; Fang, Niufa A new proof of the Orlicz-Lorentz Busemann-Petty centroid inequality. (English) Zbl 1429.52010 J. Math. Inequal. 13, No. 3, Article No. 13-47, 703-713 (2019). Reviewer: George Stoica (Saint John) MSC: 52A40 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{N. Fang}, J. Math. Inequal. 13, No. 3, Article No. 13--47, 703--713 (2019; Zbl 1429.52010) Full Text: DOI
Livshyts, Galyna V. An extension of Minkowski’s theorem and its applications to questions about projections for measures. (English) Zbl 1429.52004 Adv. Math. 356, Article ID 106803, 40 p. (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A20 52C07 PDFBibTeX XMLCite \textit{G. V. Livshyts}, Adv. Math. 356, Article ID 106803, 40 p. (2019; Zbl 1429.52004) Full Text: DOI arXiv
Alonso-Gutiérrez, David; Artstein-Avidan, Shiri; González Merino, Bernardo; Jiménez, Carlos Hugo; Villa, Rafael Rogers-Shephard and local Loomis-Whitney type inequalities. (English) Zbl 1423.52010 Math. Ann. 374, No. 3-4, 1719-1771 (2019). Reviewer: Thomas Jahn (Chemnitz) MSC: 52A40 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez} et al., Math. Ann. 374, No. 3--4, 1719--1771 (2019; Zbl 1423.52010) Full Text: DOI arXiv
Feng, Yibin; He, Binwu A new approach to the Orlicz Brunn-Minkowski inequality. (English) Zbl 1417.52005 Adv. Appl. Math. 107, 144-156 (2019). Reviewer: Niufa Fang (Chongqing) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{B. He}, Adv. Appl. Math. 107, 144--156 (2019; Zbl 1417.52005) Full Text: DOI
Yang, Congli; Chen, Fangwei Volume inequalities for asymmetric Orlicz zonotopes. (English) Zbl 1405.52004 Taiwanese J. Math. 22, No. 1, 157-181 (2018). Reviewer: Yiming Zhao (Cambridge, MA) MSC: 52A20 52A40 52A38 PDFBibTeX XMLCite \textit{C. Yang} and \textit{F. Chen}, Taiwanese J. Math. 22, No. 1, 157--181 (2018; Zbl 1405.52004) Full Text: DOI arXiv Euclid
Ma, Tongyi On the reverse Orlicz Blaschke-Santaló inequality. (English) Zbl 1395.52009 Mediterr. J. Math. 15, No. 2, Paper No. 32, 11 p. (2018). Reviewer: Horst Martini (Chemnitz) MSC: 52A30 52A40 PDFBibTeX XMLCite \textit{T. Ma}, Mediterr. J. Math. 15, No. 2, Paper No. 32, 11 p. (2018; Zbl 1395.52009) Full Text: DOI
Wu, Denghui Firey-Shephard problems for homogeneous measures. (English) Zbl 1381.52008 J. Math. Anal. Appl. 458, No. 1, 43-57 (2018). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 PDFBibTeX XMLCite \textit{D. Wu}, J. Math. Anal. Appl. 458, No. 1, 43--57 (2018; Zbl 1381.52008) Full Text: DOI
Nguyen, Van Hoang Orlicz-Lorentz centroid bodies. (English) Zbl 1380.52011 Adv. Appl. Math. 92, 99-121 (2018). Reviewer: Boris Rubin (Baton Rouge) MSC: 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Appl. Math. 92, 99--121 (2018; Zbl 1380.52011) Full Text: DOI arXiv
Koldobsky, Alexander Stability inequalities for projections of convex bodies. (English) Zbl 1360.52004 Discrete Comput. Geom. 57, No. 1, 152-163 (2017). Reviewer: George Stoica (Saint John) MSC: 52A40 52A38 52A20 PDFBibTeX XMLCite \textit{A. Koldobsky}, Discrete Comput. Geom. 57, No. 1, 152--163 (2017; Zbl 1360.52004) Full Text: DOI arXiv
Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo Reverse and dual Loomis-Whitney-type inequalities. (English) Zbl 1335.52007 Trans. Am. Math. Soc. 368, No. 7, 5093-5124 (2016). MSC: 52A20 52A40 52A38 PDFBibTeX XMLCite \textit{S. Campi} et al., Trans. Am. Math. Soc. 368, No. 7, 5093--5124 (2016; Zbl 1335.52007) Full Text: DOI arXiv
Xia, Yun Wei; Zeng, Chun Na An explicit counter-example for the Shephard problem of convex bodies in \(\mathbb R^n\). (English) Zbl 1344.52009 Acta Math. Sin., Engl. Ser. 31, No. 12, 1941-1950 (2015). Reviewer: Zsolt Lángi (Budapest) MSC: 52A20 52A40 52A38 PDFBibTeX XMLCite \textit{Y. W. Xia} and \textit{C. N. Zeng}, Acta Math. Sin., Engl. Ser. 31, No. 12, 1941--1950 (2015; Zbl 1344.52009) Full Text: DOI
Artstein-Avidan, Shiri; Einhorn, Keshet; Florentin, Dan I.; Ostrover, Yaron On Godbersen’s conjecture. (English) Zbl 1335.52005 Geom. Dedicata 178, 337-350 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A20 26B25 52A39 52A40 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} et al., Geom. Dedicata 178, 337--350 (2015; Zbl 1335.52005) Full Text: DOI arXiv
Cordero-Erausquin, Dario; Fradelizi, Matthieu; Paouris, Grigoris; Pivovarov, Peter Volume of the polar of random sets and shadow systems. (English) Zbl 1366.52008 Math. Ann. 362, No. 3-4, 1305-1325 (2015). MSC: 52A40 52A22 60D05 PDFBibTeX XMLCite \textit{D. Cordero-Erausquin} et al., Math. Ann. 362, No. 3--4, 1305--1325 (2015; Zbl 1366.52008) Full Text: DOI arXiv
Chen, Fangwei; Xu, Wenxue; Yang, Congli Rogers and Shephard inequality for the Orlicz difference body. (English) Zbl 1322.52004 Proc. Am. Math. Soc. 143, No. 9, 4029-4039 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A20 52A40 52A38 52A39 PDFBibTeX XMLCite \textit{F. Chen} et al., Proc. Am. Math. Soc. 143, No. 9, 4029--4039 (2015; Zbl 1322.52004) Full Text: DOI
Du, Changmin; Guo, Lujun; Leng, Gangsong Volume inequalities for Orlicz mean bodies. (English) Zbl 1322.52005 Proc. Indian Acad. Sci., Math. Sci. 125, No. 1, 57-70 (2015). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{C. Du} et al., Proc. Indian Acad. Sci., Math. Sci. 125, No. 1, 57--70 (2015; Zbl 1322.52005) Full Text: DOI
Jin, Hailin; Yuan, Shufeng A sharp Rogers-Shephard type inequality for Orlicz-difference body of planar convex bodies. (English) Zbl 1328.52004 Proc. Indian Acad. Sci., Math. Sci. 124, No. 4, 573-580 (2014). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A10 PDFBibTeX XMLCite \textit{H. Jin} and \textit{S. Yuan}, Proc. Indian Acad. Sci., Math. Sci. 124, No. 4, 573--580 (2014; Zbl 1328.52004) Full Text: DOI
Hu, Junfang Stability in the \(L_p\) Shephard problem. (English) Zbl 1315.52006 Indag. Math., New Ser. 25, No. 3, 454-467 (2014). Reviewer: A. E. Litvak (Edmonton) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{J. Hu}, Indag. Math., New Ser. 25, No. 3, 454--467 (2014; Zbl 1315.52006) Full Text: DOI
Chen, Christina; Khovanova, Tanya; Klain, Daniel A. Volume bounds for shadow covering. (English) Zbl 1286.52002 Trans. Am. Math. Soc. 366, No. 3, 1161-1177 (2014). MSC: 52A20 52A38 PDFBibTeX XMLCite \textit{C. Chen} et al., Trans. Am. Math. Soc. 366, No. 3, 1161--1177 (2014; Zbl 1286.52002) Full Text: DOI arXiv
Weberndorfer, Manuel Shadow systems of asymmetric \(L_p\) zonotopes. (English) Zbl 1296.52008 Adv. Math. 240, 613-635 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 PDFBibTeX XMLCite \textit{M. Weberndorfer}, Adv. Math. 240, 613--635 (2013; Zbl 1296.52008) Full Text: DOI
Saroglou, Christos Shadow systems: remarks and extensions. (English) Zbl 1277.52005 Arch. Math. 100, No. 4, 389-399 (2013). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 PDFBibTeX XMLCite \textit{C. Saroglou}, Arch. Math. 100, No. 4, 389--399 (2013; Zbl 1277.52005) Full Text: DOI
Paouris, Grigoris; Pivovarov, Peter A probabilistic take on isoperimetric-type inequalities. (English) Zbl 1260.52006 Adv. Math. 230, No. 3, 1402-1422 (2012). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 60D05 PDFBibTeX XMLCite \textit{G. Paouris} and \textit{P. Pivovarov}, Adv. Math. 230, No. 3, 1402--1422 (2012; Zbl 1260.52006) Full Text: DOI
Wang, Guangting; Leng, Gangsong; Huang, Qingzhong Volume inequalities for Orlicz zonotopes. (English) Zbl 1275.52006 J. Math. Anal. Appl. 391, No. 1, 183-189 (2012). MSC: 52A20 52A38 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Math. Anal. Appl. 391, No. 1, 183--189 (2012; Zbl 1275.52006) Full Text: DOI
Koldobsky, Alexander Stability in the Busemann-Petty and Shephard problems. (English) Zbl 1228.52006 Adv. Math. 228, No. 4, 2145-2161 (2011). MSC: 52A38 52A40 52A20 PDFBibTeX XMLCite \textit{A. Koldobsky}, Adv. Math. 228, No. 4, 2145--2161 (2011; Zbl 1228.52006) Full Text: DOI arXiv
Meyer, Mathieu; Reisner, Shlomo The convex intersection body of a convex body. (English) Zbl 1230.52012 Glasg. Math. J. 53, No. 3, 523-534 (2011). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 PDFBibTeX XMLCite \textit{M. Meyer} and \textit{S. Reisner}, Glasg. Math. J. 53, No. 3, 523--534 (2011; Zbl 1230.52012) Full Text: DOI
Klain, Daniel A. If you can hide behind it, can you hide inside it? (English) Zbl 1252.52001 Trans. Am. Math. Soc. 363, No. 9, 4585-4601 (2011). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52B11 PDFBibTeX XMLCite \textit{D. A. Klain}, Trans. Am. Math. Soc. 363, No. 9, 4585--4601 (2011; Zbl 1252.52001) Full Text: DOI arXiv
Chen, Fangwei; Zhou, Jiazu; Yang, Congli On the reverse Orlicz Busemann-Petty centroid inequality. (English) Zbl 1230.52019 Adv. Appl. Math. 47, No. 4, 820-828 (2011). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{F. Chen} et al., Adv. Appl. Math. 47, No. 4, 820--828 (2011; Zbl 1230.52019) Full Text: DOI
Campi, Stefano; Gronchi, Paolo Estimates of Loomis-Whitney type for intrinsic volumes. (English) Zbl 1225.52005 Adv. Appl. Math. 47, No. 3, 545-561 (2011). MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Adv. Appl. Math. 47, No. 3, 545--561 (2011; Zbl 1225.52005) Full Text: DOI
Abardia, Judit; Bernig, Andreas Projection bodies in complex vector spaces. (English) Zbl 1217.52009 Adv. Math. 227, No. 2, 830-846 (2011). Reviewer: Anatoliy Milka (Kharkov) MSC: 52B45 52A39 52A40 PDFBibTeX XMLCite \textit{J. Abardia} and \textit{A. Bernig}, Adv. Math. 227, No. 2, 830--846 (2011; Zbl 1217.52009) Full Text: DOI arXiv
Li, Ai-Jun; Leng, Gangsong A new proof of the Orlicz Busemann-Petty centroid inequality. (English) Zbl 1225.52006 Proc. Am. Math. Soc. 139, No. 4, 1473-1481 (2011). Reviewer: Alexey Alimov (Moskva) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{A.-J. Li} and \textit{G. Leng}, Proc. Am. Math. Soc. 139, No. 4, 1473--1481 (2011; Zbl 1225.52006) Full Text: DOI
Klain, Daniel A. Covering shadows with a smaller volume. (English) Zbl 1190.52002 Adv. Math. 224, No. 2, 601-619 (2010). MSC: 52A20 PDFBibTeX XMLCite \textit{D. A. Klain}, Adv. Math. 224, No. 2, 601--619 (2010; Zbl 1190.52002) Full Text: DOI arXiv
Schuster, Franz E. Valuations and Busemann-Petty type problems. (English) Zbl 1146.52003 Adv. Math. 219, No. 1, 344-368 (2008). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{F. E. Schuster}, Adv. Math. 219, No. 1, 344--368 (2008; Zbl 1146.52003) Full Text: DOI
Bianchini, Chiara; Colesanti, Andrea A sharp Rogers and Shephard inequality for the \(p\)-difference body of planar convex bodies. (English) Zbl 1143.52008 Proc. Am. Math. Soc. 136, No. 7, 2575-2582 (2008). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A10 52A39 PDFBibTeX XMLCite \textit{C. Bianchini} and \textit{A. Colesanti}, Proc. Am. Math. Soc. 136, No. 7, 2575--2582 (2008; Zbl 1143.52008) Full Text: DOI arXiv
Meyer, Mathieu; Reisner, Shlomo Shadow systems and volumes of polar convex bodies. (English) Zbl 1118.52015 Mathematika 53, No. 1, 129-148 (2006). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A39 52A20 PDFBibTeX XMLCite \textit{M. Meyer} and \textit{S. Reisner}, Mathematika 53, No. 1, 129--148 (2006; Zbl 1118.52015) Full Text: DOI arXiv
Campi, Stefano; Gronchi, Paolo Volume inequalities for \(L_p\)-zonotypes. (English) Zbl 1117.52011 Mathematika 53, No. 1, 71-80 (2006). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A40 52B12 52B60 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Mathematika 53, No. 1, 71--80 (2006; Zbl 1117.52011) Full Text: DOI
Campi, Stefano; Gronchi, Paolo On volume product inequalities for convex sets. (English) Zbl 1095.52002 Proc. Am. Math. Soc. 134, No. 8, 2393-2402 (2006). Reviewer: Johann Linhart (Salzburg) MSC: 52A40 52A10 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Proc. Am. Math. Soc. 134, No. 8, 2393--2402 (2006; Zbl 1095.52002) Full Text: DOI
Campi, S.; Gronchi, P. Extremal convex sets for Sylvester–Busemann type functionals. (English) Zbl 1090.52006 Appl. Anal. 85, No. 1-3, 129-141 (2006). Reviewer: Bo’az Klartag (Princeton) MSC: 52A40 52A22 60D05 52A21 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Appl. Anal. 85, No. 1--3, 129--141 (2006; Zbl 1090.52006) Full Text: DOI
Koldobsky, Alexander; Ryabogin, Dmitry; Zvavitch, Artem Projections of convex bodies and the Fourier transform. (English) Zbl 1062.52002 Isr. J. Math. 139, 361-380 (2004). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{A. Koldobsky} et al., Isr. J. Math. 139, 361--380 (2004; Zbl 1062.52002) Full Text: DOI
Zvavitch, A. Gaussian measure of sections of convex bodies. (English) Zbl 1060.52002 Adv. Math. 188, No. 1, 124-136 (2004). Reviewer: Kurt Leichtweiß (Stuttgart) MSC: 52A38 52A20 PDFBibTeX XMLCite \textit{A. Zvavitch}, Adv. Math. 188, No. 1, 124--136 (2004; Zbl 1060.52002) Full Text: DOI
Campi, Stefano; Gronchi, Paolo On the reverse \(L_p\)-Busemann-Petty centroid inequality. (English) Zbl 1056.52005 Mathematika 49, No. 1-2, 1-11 (2002). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Mathematika 49, No. 1--2, 1--11 (2002; Zbl 1056.52005) Full Text: DOI
Campi, S.; Gronchi, P. The \(L^p\)-Busemann-Petty centroid inequality. (English) Zbl 1002.52005 Adv. Math. 167, No. 1, 128-141 (2002). Reviewer: Salvador Gomis (Alicante) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{S. Campi} and \textit{P. Gronchi}, Adv. Math. 167, No. 1, 128--141 (2002; Zbl 1002.52005) Full Text: DOI
Lutwak, Erwin Intersection bodies and dual mixed volumes. (English) Zbl 0657.52002 Adv. Math. 71, No. 2, 232-261 (1988). Reviewer: H.Martini MSC: 52A20 PDFBibTeX XMLCite \textit{E. Lutwak}, Adv. Math. 71, No. 2, 232--261 (1988; Zbl 0657.52002) Full Text: DOI
Butler, G. J. An extremal property of simplices. (English) Zbl 0222.52009 Proc. Am. Math. Soc. 30, 556-560 (1971). MSC: 52A40 PDFBibTeX XMLCite \textit{G. J. Butler}, Proc. Am. Math. Soc. 30, 556--560 (1971; Zbl 0222.52009) Full Text: DOI
Schneider, Rolf Zu einem Problem von Shephard über die Projektionen konvexer Körper. (German) Zbl 0173.24703 Math. Z. 101, 71-82 (1967). PDFBibTeX XMLCite \textit{R. Schneider}, Math. Z. 101, 71--82 (1967; Zbl 0173.24703) Full Text: DOI EuDML
Busemann, H.; Shephard, Geoffrey C. Convex bodies and convexity on Grassmann cones. X: Projection functions of parallel convex bodies. (English) Zbl 0141.19901 Ann. Mat. Pura Appl., IV. Ser. 70, 271-293 (1965). PDFBibTeX XMLCite \textit{H. Busemann} and \textit{G. C. Shephard}, Ann. Mat. Pura Appl. (4) 70, 271--293 (1965; Zbl 0141.19901) Full Text: DOI