Balestro, Vitor; Martini, Horst Minkowski geometry – some concepts and recent developments. (English) Zbl 07619820 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022). Reviewer: Günter F. Steinke (Christchurch) MSC: 52-02 46B20 52A20 PDF BibTeX XML Cite \textit{V. Balestro} and \textit{H. Martini}, in: Surveys in geometry I. Cham: Springer. 49--95 (2022; Zbl 07619820) Full Text: DOI OpenURL
Xia, Luoyan Minkowski symmetrization and projection bodies. (English) Zbl 07612307 Result. Math. 77, No. 6, Paper No. 240, 14 p. (2022). MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{L. Xia}, Result. Math. 77, No. 6, Paper No. 240, 14 p. (2022; Zbl 07612307) Full Text: DOI OpenURL
Dewar, Sean Infinitesimal rigidity and prestress stability for frameworks in normed spaces. (English) Zbl 1498.52034 Discrete Appl. Math. 322, 425-438 (2022). MSC: 52C25 52A21 49J52 PDF BibTeX XML Cite \textit{S. Dewar}, Discrete Appl. Math. 322, 425--438 (2022; Zbl 1498.52034) Full Text: DOI arXiv OpenURL
Leite, Edir Junior Ferreira; Montenegro, Marcos Minimization to the Zhang’s energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities. (English) Zbl 07582132 J. Funct. Anal. 283, No. 10, Article ID 109646, 24 p. (2022). MSC: 46E35 52A40 49J45 PDF BibTeX XML Cite \textit{E. J. F. Leite} and \textit{M. Montenegro}, J. Funct. Anal. 283, No. 10, Article ID 109646, 24 p. (2022; Zbl 07582132) Full Text: DOI arXiv OpenURL
Dewar, Sean; Nixon, Anthony Generalised rigid body motions in non-Euclidean planes with applications to global rigidity. (English) Zbl 1491.52019 J. Math. Anal. Appl. 514, No. 1, Article ID 126259, 31 p. (2022). MSC: 52C25 05C69 52A21 PDF BibTeX XML Cite \textit{S. Dewar} and \textit{A. Nixon}, J. Math. Anal. Appl. 514, No. 1, Article ID 126259, 31 p. (2022; Zbl 1491.52019) Full Text: DOI arXiv OpenURL
Higueras-Montaño, Luisa F.; Jonard-Pérez, Natalia On the topology of some hyperspaces of convex bodies associated to tensor norms. (English) Zbl 1482.52001 J. Math. Anal. Appl. 509, No. 2, Article ID 125934, 25 p. (2022). MSC: 52A07 46A55 46B28 57N16 PDF BibTeX XML Cite \textit{L. F. Higueras-Montaño} and \textit{N. Jonard-Pérez}, J. Math. Anal. Appl. 509, No. 2, Article ID 125934, 25 p. (2022; Zbl 1482.52001) Full Text: DOI arXiv OpenURL
Balacheff, Florent; Solanes, Gil; Tzanev, Kroum The Santaló point for the Holmes-Thompson boundary area. (English) Zbl 1487.52011 Adv. Math. 397, Article ID 108118, 31 p. (2022). Reviewer: Andrea Colesanti (Firenze) MSC: 52A38 52A40 53C65 PDF BibTeX XML Cite \textit{F. Balacheff} et al., Adv. Math. 397, Article ID 108118, 31 p. (2022; Zbl 1487.52011) Full Text: DOI arXiv OpenURL
Lynch, Mark Metrics with unit discs of arbitrary shape. (English) Zbl 1491.97034 Int. J. Math. Educ. Sci. Technol. 52, No. 4, 622-625 (2021). MSC: 97I99 54E35 PDF BibTeX XML Cite \textit{M. Lynch}, Int. J. Math. Educ. Sci. Technol. 52, No. 4, 622--625 (2021; Zbl 1491.97034) Full Text: DOI OpenURL
Yijing, Sun; Yuxin, Tan; Zhen, Shuang On a planar conformal curvature problem. (English) Zbl 1492.34042 Math. Z. 299, No. 3-4, 1565-1585 (2021). Reviewer: Marek Galewski (Łódź) MSC: 34C25 34B08 58E50 PDF BibTeX XML Cite \textit{S. Yijing} et al., Math. Z. 299, No. 3--4, 1565--1585 (2021; Zbl 1492.34042) Full Text: DOI OpenURL
Sendov, Hristo Refinements of the Gauss-Lucas theorem using rational lemniscates and polar convexity. (English) Zbl 1476.30027 Proc. Am. Math. Soc. 149, No. 12, 5179-5193 (2021). MSC: 30C10 30C15 PDF BibTeX XML Cite \textit{H. Sendov}, Proc. Am. Math. Soc. 149, No. 12, 5179--5193 (2021; Zbl 1476.30027) Full Text: DOI OpenURL
Faifman, Dmitry; Wannerer, Thomas The Weyl principle on the Finsler frontier. (English) Zbl 1462.53013 Sel. Math., New Ser. 27, No. 2, Paper No. 27, 30 p. (2021). MSC: 53B40 52B45 52A39 PDF BibTeX XML Cite \textit{D. Faifman} and \textit{T. Wannerer}, Sel. Math., New Ser. 27, No. 2, Paper No. 27, 30 p. (2021; Zbl 1462.53013) Full Text: DOI arXiv OpenURL
Kastis, Eleftherios; Kitson, Derek; McCarthy, John E. Symbol functions for symmetric frameworks. (English) Zbl 1482.52024 J. Math. Anal. Appl. 497, No. 2, Article ID 124895, 25 p. (2021). MSC: 52C25 47N50 PDF BibTeX XML Cite \textit{E. Kastis} et al., J. Math. Anal. Appl. 497, No. 2, Article ID 124895, 25 p. (2021; Zbl 1482.52024) Full Text: DOI arXiv OpenURL
Wang, Wei; Liu, Lijuan Complex \(L_p\) affine isoperimetric inequalities. (English) Zbl 1458.52003 Adv. Appl. Math. 122, Article ID 102108, 26 p. (2021). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{W. Wang} and \textit{L. Liu}, Adv. Appl. Math. 122, Article ID 102108, 26 p. (2021; Zbl 1458.52003) Full Text: DOI OpenURL
Besau, Florian; Thäle, Christoph Asymptotic normality for random polytopes in non-Euclidean geometries. (English) Zbl 1468.52006 Trans. Am. Math. Soc. 373, No. 12, 8911-8941 (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 52A55 60F05 60D05 PDF BibTeX XML Cite \textit{F. Besau} and \textit{C. Thäle}, Trans. Am. Math. Soc. 373, No. 12, 8911--8941 (2020; Zbl 1468.52006) Full Text: DOI arXiv OpenURL
Creutz, Paul Majorization by hemispheres and quadratic isoperimetric constants. (English) Zbl 1434.53079 Trans. Am. Math. Soc. 373, No. 3, 1577-1596 (2020). MSC: 53C60 46B09 53A10 52A38 46E36 PDF BibTeX XML Cite \textit{P. Creutz}, Trans. Am. Math. Soc. 373, No. 3, 1577--1596 (2020; Zbl 1434.53079) Full Text: DOI arXiv OpenURL
Pambuccian, Victor; Schacht, Celia The axiomatic destiny of the theorems of Pappus and Desargues. (English) Zbl 1454.01016 Dani, S. G. (ed.) et al., Geometry in history. Cham: Springer. 355-399 (2019). Reviewer: Viktor Blåsjö (Utrecht) MSC: 01A60 01A20 01-02 51-03 PDF BibTeX XML Cite \textit{V. Pambuccian} and \textit{C. Schacht}, in: Geometry in history. Cham: Springer. 355--399 (2019; Zbl 1454.01016) Full Text: DOI OpenURL
Balestro, Vitor; Martini, Horst; Shonoda, Emad Concepts of curvatures in normed planes. (English) Zbl 1432.52001 Expo. Math. 37, No. 4, 347-381 (2019). MSC: 52A10 26B15 46B20 51M25 51N25 52A21 53A04 53A35 PDF BibTeX XML Cite \textit{V. Balestro} et al., Expo. Math. 37, No. 4, 347--381 (2019; Zbl 1432.52001) Full Text: DOI arXiv OpenURL
Vernicos, Constantin; Yang, Deane A centro-projective inequality. (Une inégalité centro-projective.) (English. French summary) Zbl 1428.52010 C. R., Math., Acad. Sci. Paris 357, No. 8, 681-685 (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A38 52A40 53A15 PDF BibTeX XML Cite \textit{C. Vernicos} and \textit{D. Yang}, C. R., Math., Acad. Sci. Paris 357, No. 8, 681--685 (2019; Zbl 1428.52010) Full Text: DOI OpenURL
Yang, Yunlong; Zhang, Deyan The log-Brunn-Minkowski inequality in \(\mathbb{R}^3\). (English) Zbl 1423.52011 Proc. Am. Math. Soc. 147, No. 10, 4465-4475 (2019). Reviewer: George Stoica (Saint John) MSC: 52A40 52A15 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{D. Zhang}, Proc. Am. Math. Soc. 147, No. 10, 4465--4475 (2019; Zbl 1423.52011) Full Text: DOI arXiv OpenURL
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Surface immersions in normed spaces from the affine point of view. (English) Zbl 1427.53010 Geom. Dedicata 201, 21-31 (2019). MSC: 53A35 53A15 53A10 58B20 52A15 52A21 46B20 PDF BibTeX XML Cite \textit{V. Balestro} et al., Geom. Dedicata 201, 21--31 (2019; Zbl 1427.53010) Full Text: DOI arXiv OpenURL
Nguyen, Van Hoang A simple proof of the moment-entropy inequalities. (English) Zbl 1416.60021 Adv. Appl. Math. 108, 31-44 (2019). MSC: 60D05 94A17 52A40 PDF BibTeX XML Cite \textit{V. H. Nguyen}, Adv. Appl. Math. 108, 31--44 (2019; Zbl 1416.60021) Full Text: DOI OpenURL
Plastria, Frank Pasting gauges. I: Shortest paths across a hyperplane. (English) Zbl 1447.52027 Discrete Appl. Math. 256, 105-137 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 52C35 47A30 PDF BibTeX XML Cite \textit{F. Plastria}, Discrete Appl. Math. 256, 105--137 (2019; Zbl 1447.52027) Full Text: DOI OpenURL
Farnsworth, David L. Axes for symmetric convex curves. (English) Zbl 07432237 Math. Gaz. 102, No. 553, 23-30 (2018). MSC: 51N20 PDF BibTeX XML Cite \textit{D. L. Farnsworth}, Math. Gaz. 102, No. 553, 23--30 (2018; Zbl 07432237) Full Text: DOI OpenURL
Yijing, Sun Existence and uniqueness of solutions to Orlicz Minkowski problems involving \(0 < p < 1\). (English) Zbl 1406.52005 Adv. Appl. Math. 101, 184-214 (2018). Reviewer: Ágota H. Temesvári (Budapest) MSC: 52A10 52A40 34B16 34C25 PDF BibTeX XML Cite \textit{S. Yijing}, Adv. Appl. Math. 101, 184--214 (2018; Zbl 1406.52005) Full Text: DOI OpenURL
Ivanov, Sergei Monochromatic Finsler surfaces and a local ellipsoid characterization. (English) Zbl 1427.52005 Proc. Am. Math. Soc. 146, No. 4, 1741-1755 (2018). MSC: 52A15 53B40 53B25 52A21 PDF BibTeX XML Cite \textit{S. Ivanov}, Proc. Am. Math. Soc. 146, No. 4, 1741--1755 (2018; Zbl 1427.52005) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. H. Nguyen}, Adv. Appl. Math. 92, 99--121 (2018; Zbl 1380.52011) Full Text: DOI arXiv OpenURL
Belov, Evgeniĭ Gennad’evich; Livanov, Nikita Dmitrievich Linear convex sets and curves in linear norm. (Russian. English summary) Zbl 1465.52017 Chelyabinskiĭ Fiz.-Mat. Zh. 2, No. 1, 10-17 (2017). MSC: 52A21 51K05 PDF BibTeX XML Cite \textit{E. G. Belov} and \textit{N. D. Livanov}, Chelyabinskiĭ Fiz.-Mat. Zh. 2, No. 1, 10--17 (2017; Zbl 1465.52017) Full Text: MNR OpenURL
Väisälä, Jussi Observations on circumcenters in normed planes. (English) Zbl 1387.52005 Beitr. Algebra Geom. 58, No. 3, 607-615 (2017). Reviewer: Norbert Knarr (Stuttgart) MSC: 52A21 46B20 51B20 PDF BibTeX XML Cite \textit{J. Väisälä}, Beitr. Algebra Geom. 58, No. 3, 607--615 (2017; Zbl 1387.52005) Full Text: DOI Link OpenURL
Lin, Youjiang Affine Orlicz Pólya-Szegő principle for log-concave functions. (English) Zbl 1383.46024 J. Funct. Anal. 273, No. 10, 3295-3326 (2017). MSC: 46E30 46E35 52B40 52A39 PDF BibTeX XML Cite \textit{Y. Lin}, J. Funct. Anal. 273, No. 10, 3295--3326 (2017; Zbl 1383.46024) Full Text: DOI OpenURL
Zhou, Yanping; He, Binwu On LYZ’s conjecture for the \(U\)-functional. (English) Zbl 1371.52004 Adv. Appl. Math. 87, 43-57 (2017). Reviewer: Gabriela Cristescu (Arad) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{B. He}, Adv. Appl. Math. 87, 43--57 (2017; Zbl 1371.52004) Full Text: DOI OpenURL
Xue, F.; Zong, C. Minkowski bisectors, Minkowski cells and lattice coverings. (English) Zbl 1392.52008 Geom. Dedicata 188, 123-139 (2017). Reviewer: Horst Martini (Chemnitz) MSC: 52B10 52C07 52C17 PDF BibTeX XML Cite \textit{F. Xue} and \textit{C. Zong}, Geom. Dedicata 188, 123--139 (2017; Zbl 1392.52008) Full Text: DOI arXiv OpenURL
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph Angles in normed spaces. (English) Zbl 1365.52006 Aequationes Math. 91, No. 2, 201-236 (2017). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A21 32A70 46B20 46C15 46C50 51M05 51M25 PDF BibTeX XML Cite \textit{V. Balestro} et al., Aequationes Math. 91, No. 2, 201--236 (2017; Zbl 1365.52006) Full Text: DOI arXiv OpenURL
Böröczky, Károly J.; Henk, Martin Cone-volume measure and stability. (English) Zbl 1366.52007 Adv. Math. 306, 24-50 (2017). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{K. J. Böröczky} and \textit{M. Henk}, Adv. Math. 306, 24--50 (2017; Zbl 1366.52007) Full Text: DOI arXiv OpenURL
Horváth, Ákos G. Isometries of Minkowski geometries. (English) Zbl 1394.47029 Linear Algebra Appl. 512, 172-190 (2017). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 47A65 46C50 52A10 52A21 PDF BibTeX XML Cite \textit{Á. G. Horváth}, Linear Algebra Appl. 512, 172--190 (2017; Zbl 1394.47029) Full Text: DOI arXiv OpenURL
Li, Ai-Jun; Xi, Dongmeng; Zhang, Gaoyong Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds. (English) Zbl 1359.52011 Adv. Math. 304, 494-538 (2017). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A40 52A21 52A38 PDF BibTeX XML Cite \textit{A.-J. Li} et al., Adv. Math. 304, 494--538 (2017; Zbl 1359.52011) Full Text: DOI OpenURL
Lozano-Durán, Adrián; Borrell, Guillem Algorithm 964: An efficient algorithm to compute the genus of discrete surfaces and applications to turbulent flows. (English) Zbl 1369.65033 ACM Trans. Math. Softw. 42, No. 4, Article No. 34, 19 p. (2016). MSC: 65D18 65Y15 76F99 PDF BibTeX XML Cite \textit{A. Lozano-Durán} and \textit{G. Borrell}, ACM Trans. Math. Softw. 42, No. 4, Article No. 34, 19 p. (2016; Zbl 1369.65033) Full Text: DOI arXiv OpenURL
Pan, Shengliang; Zhang, Deyan; Chao, Zhongjun A generalization of the Blaschke-Lebesgue problem to a kind of convex domains. (English) Zbl 1350.52003 Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1587-1601 (2016). Reviewer: Guangxian Zhu (New York) MSC: 52A38 52A40 52A20 PDF BibTeX XML Cite \textit{S. Pan} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1587--1601 (2016; Zbl 1350.52003) Full Text: DOI OpenURL
Álvarez Paiva, J. C.; Balacheff, F.; Tzanev, K. Isosystolic inequalities for optical hypersurfaces. (English) Zbl 1388.53035 Adv. Math. 301, 934-972 (2016). Reviewer: Oana Constantinescu (Iaşi) MSC: 53C22 53C60 PDF BibTeX XML Cite \textit{J. C. Álvarez Paiva} et al., Adv. Math. 301, 934--972 (2016; Zbl 1388.53035) Full Text: DOI arXiv OpenURL
Richter, Wolf-Dieter; Schicker, Kay Circle numbers of regular convex polygons. (English) Zbl 1380.52002 Result. Math. 69, No. 3-4, 521-538 (2016). Reviewer: Mowaffaq Hajja (Amman) MSC: 52A10 26B15 28A50 28A75 51M25 51F99 52A38 52C05 PDF BibTeX XML Cite \textit{W.-D. Richter} and \textit{K. Schicker}, Result. Math. 69, No. 3--4, 521--538 (2016; Zbl 1380.52002) Full Text: DOI OpenURL
Böröczky, Károly J.; Henk, Martin Cone-volume measure of general centered convex bodies. (English) Zbl 1334.52003 Adv. Math. 286, 703-721 (2016). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{K. J. Böröczky} and \textit{M. Henk}, Adv. Math. 286, 703--721 (2016; Zbl 1334.52003) Full Text: DOI OpenURL
Martini, Horst; Wu, Senlin Complete sets need not be reduced in Minkowski spaces. (English) Zbl 1347.52008 Beitr. Algebra Geom. 56, No. 2, 533-539 (2015). Reviewer: David Yost (Ballarat) MSC: 52A21 46B20 52A20 PDF BibTeX XML Cite \textit{H. Martini} and \textit{S. Wu}, Beitr. Algebra Geom. 56, No. 2, 533--539 (2015; Zbl 1347.52008) Full Text: DOI arXiv OpenURL
Kitson, Derek; Schulze, Bernd Maxwell-Laman counts for bar-joint frameworks in normed spaces. (English) Zbl 1318.52018 Linear Algebra Appl. 481, 313-329 (2015). MSC: 52C25 20C35 05C50 51B20 52A21 PDF BibTeX XML Cite \textit{D. Kitson} and \textit{B. Schulze}, Linear Algebra Appl. 481, 313--329 (2015; Zbl 1318.52018) Full Text: DOI arXiv OpenURL
Molchanov, Ilya; Ralchenko, Kostiantyn A generalisation of the fractional Brownian field based on non-Euclidean norms. (English) Zbl 1319.60109 J. Math. Anal. Appl. 430, No. 1, 262-278 (2015). MSC: 60G60 60G22 60G15 60G18 PDF BibTeX XML Cite \textit{I. Molchanov} and \textit{K. Ralchenko}, J. Math. Anal. Appl. 430, No. 1, 262--278 (2015; Zbl 1319.60109) Full Text: DOI arXiv OpenURL
Zhu, Guangxian The \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\). (English) Zbl 1335.52023 J. Funct. Anal. 269, No. 4, 1070-1094 (2015). Reviewer: Martin Henk (Berlin) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{G. Zhu}, J. Funct. Anal. 269, No. 4, 1070--1094 (2015; Zbl 1335.52023) Full Text: DOI arXiv OpenURL
Vincze, Cs. Average methods and their applications in differential geometry. I. (English) Zbl 1319.51006 J. Geom. Phys. 92, 194-209 (2015). MSC: 51B20 53C60 52A21 PDF BibTeX XML Cite \textit{Cs. Vincze}, J. Geom. Phys. 92, 194--209 (2015; Zbl 1319.51006) Full Text: DOI arXiv OpenURL
Zou, Du; Xiong, Ge The minimal Orlicz surface area. (English) Zbl 1376.52017 Adv. Appl. Math. 61, 25-45 (2014). MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{D. Zou} and \textit{G. Xiong}, Adv. Appl. Math. 61, 25--45 (2014; Zbl 1376.52017) Full Text: DOI OpenURL
Martini, Horst; Wu, Senlin Classical curve theory in normed planes. (English) Zbl 1364.52005 Comput. Aided Geom. Des. 31, No. 7-8, 373-397 (2014). MSC: 52A21 PDF BibTeX XML Cite \textit{H. Martini} and \textit{S. Wu}, Comput. Aided Geom. Des. 31, No. 7--8, 373--397 (2014; Zbl 1364.52005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Ge} and \textit{Z. Du}, Sci. China, Math. 57, No. 12, 2549--2562 (2014; Zbl 1328.52003) Full Text: DOI OpenURL
Fitzhugh, Joshua M.; Farnsworth, David L. The behavior of midsets when repeatedly taking the midset of two lines in \(l_1\) geometry. (English) Zbl 1312.51002 Int. J. Math. Math. Sci. 2014, Article ID 832647, 5 p. (2014). MSC: 51B99 51B20 PDF BibTeX XML Cite \textit{J. M. Fitzhugh} and \textit{D. L. Farnsworth}, Int. J. Math. Math. Sci. 2014, Article ID 832647, 5 p. (2014; Zbl 1312.51002) Full Text: DOI OpenURL
Lassak, Marek; Martini, Horst Reduced convex bodies in finite dimensional normed spaces: a survey. (English) Zbl 1310.52004 Result. Math. 66, No. 3-4, 405-426 (2014). MSC: 52A21 46B20 51M25 52A10 52A20 52A40 52B11 PDF BibTeX XML Cite \textit{M. Lassak} and \textit{H. Martini}, Result. Math. 66, No. 3--4, 405--426 (2014; Zbl 1310.52004) Full Text: DOI OpenURL
Richter, Wolf-Dieter; Schicker, Kay Ball numbers of platonic bodies. (English) Zbl 1321.52010 J. Math. Anal. Appl. 416, No. 2, 783-799 (2014). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A20 PDF BibTeX XML Cite \textit{W.-D. Richter} and \textit{K. Schicker}, J. Math. Anal. Appl. 416, No. 2, 783--799 (2014; Zbl 1321.52010) Full Text: DOI OpenURL
Lassak, Marek; Martini, Horst; Spirova, Margarita On translative coverings of convex bodies. (English) Zbl 1305.52022 Rocky Mt. J. Math. 44, No. 4, 1281-1299 (2014). Reviewer: Lángi Zsolt (Budapest) MSC: 52C17 52A20 52A40 PDF BibTeX XML Cite \textit{M. Lassak} et al., Rocky Mt. J. Math. 44, No. 4, 1281--1299 (2014; Zbl 1305.52022) Full Text: DOI Euclid OpenURL
Zou, Du; Xiong, Ge Orlicz-John ellipsoids. (English) Zbl 1301.52015 Adv. Math. 265, 132-168 (2014). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{D. Zou} and \textit{G. Xiong}, Adv. Math. 265, 132--168 (2014; Zbl 1301.52015) Full Text: DOI arXiv OpenURL
Zhu, Guangxian The logarithmic Minkowski problem for polytopes. (English) Zbl 1321.52015 Adv. Math. 262, 909-931 (2014). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 PDF BibTeX XML Cite \textit{G. Zhu}, Adv. Math. 262, 909--931 (2014; Zbl 1321.52015) Full Text: DOI OpenURL
Vaaler, Jeffrey D. Heights on groups and small multiplicative dependencies. (English) Zbl 1295.11117 Trans. Am. Math. Soc. 366, No. 6, 3295-3323 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11J25 46B04 PDF BibTeX XML Cite \textit{J. D. Vaaler}, Trans. Am. Math. Soc. 366, No. 6, 3295--3323 (2014; Zbl 1295.11117) Full Text: DOI arXiv OpenURL
Gruber, Peter M. Normal bundles of convex bodies. (English) Zbl 1296.52003 Adv. Math. 254, 419-453 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A15 52A21 52C07 53A05 PDF BibTeX XML Cite \textit{P. M. Gruber}, Adv. Math. 254, 419--453 (2014; Zbl 1296.52003) Full Text: DOI OpenURL
Gardner, Richard J.; Parapatits, Lukas; Schuster, Franz E. A characterization of Blaschke addition. (English) Zbl 1291.52011 Adv. Math. 254, 396-418 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A39 52A41 PDF BibTeX XML Cite \textit{R. J. Gardner} et al., Adv. Math. 254, 396--418 (2014; Zbl 1291.52011) Full Text: DOI arXiv OpenURL
Bernig, Andreas The isoperimetrix in the dual Brunn-Minkowski theory. (English) Zbl 1291.52007 Adv. Math. 254, 1-14 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A38 52A40 53C60 PDF BibTeX XML Cite \textit{A. Bernig}, Adv. Math. 254, 1--14 (2014; Zbl 1291.52007) Full Text: DOI arXiv OpenURL
Ji, Donghai; Wu, Senlin Isometric reflection vectors and characterizations of Hilbert spaces. (English) Zbl 1296.46024 J. Funct. Spaces 2014, Article ID 634082, 3 p. (2014). Reviewer: Clemente Zanco (Milano) MSC: 46C15 46B04 PDF BibTeX XML Cite \textit{D. Ji} and \textit{S. Wu}, J. Funct. Spaces 2014, Article ID 634082, 3 p. (2014; Zbl 1296.46024) Full Text: DOI OpenURL
Horváth, Á. G.; Martini, H. Bounded representation and radial projections of bisectors in normed spaces. (English) Zbl 1273.46005 Rocky Mt. J. Math. 43, No. 1, 179-191 (2013). Reviewer: Margarita Spirova (Chemnitz) MSC: 46B20 51M05 52A21 57N16 PDF BibTeX XML Cite \textit{Á. G. Horváth} and \textit{H. Martini}, Rocky Mt. J. Math. 43, No. 1, 179--191 (2013; Zbl 1273.46005) Full Text: DOI arXiv Euclid OpenURL
Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The logarithmic Minkowski problem. (English) Zbl 1272.52012 J. Am. Math. Soc. 26, No. 3, 831-852 (2013). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A21 PDF BibTeX XML Cite \textit{K. Böröczky jun.} et al., J. Am. Math. Soc. 26, No. 3, 831--852 (2013; Zbl 1272.52012) Full Text: DOI OpenURL
Bogdewicz, Agnieszka; Grzybowski, Jerzy Unique metric segments in the hyperspace over a strictly convex Minkowski space. (English) Zbl 1273.52003 Beitr. Algebra Geom. 54, No. 1, 453-467 (2013). Reviewer: A. E. Litvak (Edmonton) MSC: 52A20 51B20 PDF BibTeX XML Cite \textit{A. Bogdewicz} and \textit{J. Grzybowski}, Beitr. Algebra Geom. 54, No. 1, 453--467 (2013; Zbl 1273.52003) Full Text: DOI OpenURL
Väisälä, Jussi Regular simplices in three-dimensional normed spaces. (English) Zbl 1263.52006 Beitr. Algebra Geom. 53, No. 2, 569-570 (2012). Reviewer: Horst Martini (Chemnitz) MSC: 52A21 46B20 PDF BibTeX XML Cite \textit{J. Väisälä}, Beitr. Algebra Geom. 53, No. 2, 569--570 (2012; Zbl 1263.52006) Full Text: DOI OpenURL
Abardia, Judit Difference bodies in complex vector spaces. (English) Zbl 1262.52012 J. Funct. Anal. 263, No. 11, 3588-3603 (2012). Reviewer: Christian Richter (Jena) MSC: 52B45 52A20 52A39 PDF BibTeX XML Cite \textit{J. Abardia}, J. Funct. Anal. 263, No. 11, 3588--3603 (2012; Zbl 1262.52012) Full Text: DOI arXiv OpenURL
Martini, Horst; Shcherba, Anatoly On the self-perimeter of pentagonal gauges. (English) Zbl 1260.46011 Aequationes Math. 84, No. 1-2, 157-183 (2012). Reviewer: Margarita Spirova (Chemnitz) MSC: 46B20 52A21 52A38 PDF BibTeX XML Cite \textit{H. Martini} and \textit{A. Shcherba}, Aequationes Math. 84, No. 1--2, 157--183 (2012; Zbl 1260.46011) Full Text: DOI OpenURL
Körner, Mark-Christoph; Martini, Horst; Schöbel, Anita Minsum hyperspheres in normed spaces. (English) Zbl 1250.90049 Discrete Appl. Math. 160, No. 15, 2221-2233 (2012). MSC: 90B85 PDF BibTeX XML Cite \textit{M.-C. Körner} et al., Discrete Appl. Math. 160, No. 15, 2221--2233 (2012; Zbl 1250.90049) Full Text: DOI OpenURL
Moreno, José Pedro; Schneider, Rolf Structure of the space of diametrically complete sets in a Minkowski space. (English) Zbl 1259.52003 Discrete Comput. Geom. 48, No. 2, 467-486 (2012). Reviewer: A. E. Litvak (Edmonton) MSC: 52A21 46B20 PDF BibTeX XML Cite \textit{J. P. Moreno} and \textit{R. Schneider}, Discrete Comput. Geom. 48, No. 2, 467--486 (2012; Zbl 1259.52003) Full Text: DOI OpenURL
Alonso, Javier; Martini, Horst; Spirova, Margarita Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. (English) Zbl 1251.65016 Comput. Geom. 45, No. 7, 350-369 (2012). Reviewer: Jason Hanson (Redmond) MSC: 65D18 51B20 PDF BibTeX XML Cite \textit{J. Alonso} et al., Comput. Geom. 45, No. 7, 350--369 (2012; Zbl 1251.65016) Full Text: DOI OpenURL
Alonso, Javier; Martini, Horst; Spirova, Margarita Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. (English) Zbl 1245.65022 Comput. Geom. 45, No. 5-6, 258-274 (2012). Reviewer: Jason Hanson (Redmond) MSC: 65D18 51B20 PDF BibTeX XML Cite \textit{J. Alonso} et al., Comput. Geom. 45, No. 5--6, 258--274 (2012; Zbl 1245.65022) Full Text: DOI OpenURL
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The Brunn-Minkowski-Firey inequality for nonconvex sets. (English) Zbl 1252.52006 Adv. Appl. Math. 48, No. 2, 407-413 (2012). Reviewer: Shengliang Pan (Shanghai) MSC: 52A40 PDF BibTeX XML Cite \textit{E. Lutwak} et al., Adv. Appl. Math. 48, No. 2, 407--413 (2012; Zbl 1252.52006) Full Text: DOI OpenURL
Schuster, Franz E.; Wannerer, Thomas \(\mathrm{GL}(n)\) contravariant Minkowski valuations. (English) Zbl 1246.52009 Trans. Am. Math. Soc. 364, No. 2, 815-826 (2012). Reviewer: Paolo Dulio (Milano) MSC: 52A20 52B45 52A40 PDF BibTeX XML Cite \textit{F. E. Schuster} and \textit{T. Wannerer}, Trans. Am. Math. Soc. 364, No. 2, 815--826 (2012; Zbl 1246.52009) Full Text: DOI arXiv OpenURL
Alonso, Javier; Martini, Horst; Wu, Senlin On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. (English) Zbl 1241.46006 Aequationes Math. 83, No. 1-2, 153-189 (2012). MSC: 46B20 46C15 52A21 PDF BibTeX XML Cite \textit{J. Alonso} et al., Aequationes Math. 83, No. 1--2, 153--189 (2012; Zbl 1241.46006) Full Text: DOI OpenURL
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J. Geometry where direction matters – or does it? (English) Zbl 1233.52005 Math. Intell. 33, No. 3, 115-125 (2011). Reviewer: Rolf Riesinger (Wien) MSC: 52A21 52-02 51-02 46B20 90B85 PDF BibTeX XML Cite \textit{H. Martini} et al., Math. Intell. 33, No. 3, 115--125 (2011; Zbl 1233.52005) Full Text: DOI OpenURL
Klain, Daniel A. On the equality conditions of the Brunn-Minkowski theorem. (English) Zbl 1227.52004 Proc. Am. Math. Soc. 139, No. 10, 3719-3726 (2011). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 52A38 52A39 PDF BibTeX XML Cite \textit{D. A. Klain}, Proc. Am. Math. Soc. 139, No. 10, 3719--3726 (2011; Zbl 1227.52004) Full Text: DOI arXiv OpenURL
Fankhänel, Andreas On angular measures in Minkowski planes. (English) Zbl 1246.46011 Beitr. Algebra Geom. 52, No. 2, 335-342 (2011). Reviewer: Horst Martini (Chemnitz) MSC: 46B20 52A21 PDF BibTeX XML Cite \textit{A. Fankhänel}, Beitr. Algebra Geom. 52, No. 2, 335--342 (2011; Zbl 1246.46011) Full Text: DOI OpenURL
Richter, W.-D. Circle numbers for star discs. (English) Zbl 1218.28002 ISRN Geom. 2011, Article ID 479262, 16 p. (2011). MSC: 28A75 PDF BibTeX XML Cite \textit{W. D. Richter}, ISRN Geom. 2011, Article ID 479262, 16 p. (2011; Zbl 1218.28002) Full Text: DOI OpenURL
Martini, H.; Shcherba, A. On the self-perimeter of quadrangles for gauges. (English) Zbl 1222.52001 Beitr. Algebra Geom. 52, No. 1, 191-203 (2011). Reviewer: Alina Stancu (Lowell) MSC: 52A10 52A21 52A38 PDF BibTeX XML Cite \textit{H. Martini} and \textit{A. Shcherba}, Beitr. Algebra Geom. 52, No. 1, 191--203 (2011; Zbl 1222.52001) Full Text: DOI OpenURL
Caspani, Luigi; Papini, Pier Luigi Complete sets, radii, and inner radii. (English) Zbl 1244.52006 Beitr. Algebra Geom. 52, No. 1, 163-170 (2011). MSC: 52A20 46B20 PDF BibTeX XML Cite \textit{L. Caspani} and \textit{P. L. Papini}, Beitr. Algebra Geom. 52, No. 1, 163--170 (2011; Zbl 1244.52006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Abardia} and \textit{A. Bernig}, Adv. Math. 227, No. 2, 830--846 (2011; Zbl 1217.52009) Full Text: DOI arXiv OpenURL
Zhai, Zhichun Note on affine Gagliardo-Nirenberg inequalities. (English) Zbl 1220.46024 Potential Anal. 34, No. 1, 1-12 (2011). MSC: 46E35 46E30 26D10 26D15 PDF BibTeX XML Cite \textit{Z. Zhai}, Potential Anal. 34, No. 1, 1--12 (2011; Zbl 1220.46024) Full Text: DOI arXiv OpenURL
Ge, Xiong Extremum problems for the cone volume functional of convex polytopes. (English) Zbl 1213.52011 Adv. Math. 225, No. 6, 3214-3228 (2010). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A20 52A39 PDF BibTeX XML Cite \textit{X. Ge}, Adv. Math. 225, No. 6, 3214--3228 (2010; Zbl 1213.52011) Full Text: DOI OpenURL
Lv, Songjun; Lv, Xiyuan Affine Fisher information inequalities. (English) Zbl 1219.52007 J. Math. Anal. Appl. 371, No. 1, 347-354 (2010). Reviewer: Alexander Esterov (Moscow) MSC: 52A40 94A17 PDF BibTeX XML Cite \textit{S. Lv} and \textit{X. Lv}, J. Math. Anal. Appl. 371, No. 1, 347--354 (2010; Zbl 1219.52007) Full Text: DOI OpenURL
Haberl, Christoph; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The even Orlicz Minkowski problem. (English) Zbl 1198.52003 Adv. Math. 224, No. 6, 2485-2510 (2010). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 PDF BibTeX XML Cite \textit{C. Haberl} et al., Adv. Math. 224, No. 6, 2485--2510 (2010; Zbl 1198.52003) Full Text: DOI OpenURL
Burago, Dmitri; Ivanov, Sergei Boundary rigidity and filling volume minimality of metrics close to a flat one. (English) Zbl 1192.53048 Ann. Math. (2) 171, No. 2, 1183-1211 (2010). Reviewer: Andrew Bucki (Edmond) MSC: 53C23 53C20 58D17 PDF BibTeX XML Cite \textit{D. Burago} and \textit{S. Ivanov}, Ann. Math. (2) 171, No. 2, 1183--1211 (2010; Zbl 1192.53048) Full Text: DOI Link OpenURL
Lv, Songjun Dual Brunn-Minkowski inequality for volume differences. (English) Zbl 1202.52008 Geom. Dedicata 145, 169-180 (2010). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A40 52A30 PDF BibTeX XML Cite \textit{S. Lv}, Geom. Dedicata 145, 169--180 (2010; Zbl 1202.52008) Full Text: DOI OpenURL
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Orlicz projection bodies. (English) Zbl 1437.52006 Adv. Math. 223, No. 1, 220-242 (2010). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 PDF BibTeX XML Cite \textit{E. Lutwak} et al., Adv. Math. 223, No. 1, 220--242 (2010; Zbl 1437.52006) Full Text: DOI OpenURL
Ivanov, S. V. Volumes and areas of Lipschitz metrics. (English. Russian original) Zbl 1206.53046 St. Petersbg. Math. J. 20, No. 3, 381-405 (2009); translation from Algebra Anal. 20, No. 3, 74-111 (2008). MSC: 53C23 46B07 PDF BibTeX XML Cite \textit{S. V. Ivanov}, St. Petersbg. Math. J. 20, No. 3, 381--405 (2009; Zbl 1206.53046); translation from Algebra Anal. 20, No. 3, 74--111 (2008) Full Text: DOI OpenURL
Molchanov, Ilya Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities. (English) Zbl 1196.60029 J. Multivariate Anal. 100, No. 10, 2195-2213 (2009). MSC: 60E07 60D05 52A21 52A30 PDF BibTeX XML Cite \textit{I. Molchanov}, J. Multivariate Anal. 100, No. 10, 2195--2213 (2009; Zbl 1196.60029) Full Text: DOI arXiv OpenURL
Martini, Horst; Wu, Senlin Geometric dilation of closed curves in normed planes. (English) Zbl 1161.65014 Comput. Geom. 42, No. 4, 315-321 (2009). Reviewer: Juan Monterde (Burjasot) MSC: 65D18 PDF BibTeX XML Cite \textit{H. Martini} and \textit{S. Wu}, Comput. Geom. 42, No. 4, 315--321 (2009; Zbl 1161.65014) Full Text: DOI OpenURL
Gaudron, Éric Slopes of adelic vector bundles over global fields. (Pentes des fibrés vectoriels adéliques sur un corps global.) (French) Zbl 1206.14047 Rend. Semin. Mat. Univ. Padova 119, 21-95 (2008). Reviewer: Oliver Lorscheid (New York) MSC: 14G40 11R56 14D20 PDF BibTeX XML Cite \textit{É. Gaudron}, Rend. Semin. Mat. Univ. Padova 119, 21--95 (2008; Zbl 1206.14047) Full Text: DOI arXiv EuDML Link OpenURL
Molchanov, Ilya Convex geometry of max-stable distributions. (English) Zbl 1164.60003 Extremes 11, No. 3, 235-159 (2008). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60E07 60D05 PDF BibTeX XML Cite \textit{I. Molchanov}, Extremes 11, No. 3, 235--159 (2008; Zbl 1164.60003) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{F. E. Schuster}, Adv. Math. 219, No. 1, 344--368 (2008; Zbl 1146.52003) Full Text: DOI OpenURL
Haberl, Christoph \(L_p\) intersection bodies. (English) Zbl 1140.52003 Adv. Math. 217, No. 6, 2599-2624 (2008). Reviewer: Monika Ludwig (Brooklyn) MSC: 52A20 52A40 52A30 44A12 PDF BibTeX XML Cite \textit{C. Haberl}, Adv. Math. 217, No. 6, 2599--2624 (2008; Zbl 1140.52003) Full Text: DOI OpenURL
Wenger, Stefan Gromov hyperbolic spaces and the sharp isoperimetric constant. (English) Zbl 1147.53036 Invent. Math. 171, No. 1, 227-255 (2008). Reviewer: Akihiko Morimoto (Nagoya) MSC: 53C23 PDF BibTeX XML Cite \textit{S. Wenger}, Invent. Math. 171, No. 1, 227--255 (2008; Zbl 1147.53036) Full Text: DOI arXiv OpenURL
Burago, D.; Ivanov, S.; Shoenthal, D. Two counterexamples in low-dimensional length geometry. (English) Zbl 1144.53091 St. Petersbg. Math. J. 19, No. 1, 33-43 (2008) and Algebra Anal. 19, No. 1, 46-59 (2007). Reviewer: E. Kreyszig (Ottawa) MSC: 53C60 53C70 PDF BibTeX XML Cite \textit{D. Burago} et al., St. Petersbg. Math. J. 19, No. 1, 33--43 (2008; Zbl 1144.53091) Full Text: DOI OpenURL
Kjeldsen, Tinne Hoff From measuring tool to geometrical object: Minkowski’s development of the concept of convex bodies. (English) Zbl 1145.01014 Arch. Hist. Exact Sci. 62, No. 1, 59-89 (2008). Reviewer: Karl-Heinz Schlote (Leipzig) MSC: 01A60 52-03 01A55 90C25 11H06 PDF BibTeX XML Cite \textit{T. H. Kjeldsen}, Arch. Hist. Exact Sci. 62, No. 1, 59--89 (2008; Zbl 1145.01014) Full Text: DOI OpenURL
Swanepoel, Konrad J.; Villa, Rafael A lower bound for the equilateral number of normed spaces. (English) Zbl 1142.46006 Proc. Am. Math. Soc. 136, No. 1, 127-131 (2008). Reviewer: A. C. Thompson (Halifax) MSC: 46B04 52A21 46B20 PDF BibTeX XML Cite \textit{K. J. Swanepoel} and \textit{R. Villa}, Proc. Am. Math. Soc. 136, No. 1, 127--131 (2008; Zbl 1142.46006) Full Text: DOI arXiv OpenURL
Thompson, A. C. Duality, volume product and Mahler’s inequalities. (Dualität, Volumenprodukt und Mahlersche Ungleichungen.) (German) Zbl 1155.52006 Math. Semesterber. 54, No. 2, 141-153 (2007). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 PDF BibTeX XML Cite \textit{A. C. Thompson}, Math. Semesterber. 54, No. 2, 141--153 (2007; Zbl 1155.52006) Full Text: DOI OpenURL
Yu, Wu Yang; Wu, Dong Hua; Leng, Gang Song Quasi \(L_p\)-intersection bodies. (English) Zbl 1143.52007 Acta Math. Sin., Engl. Ser. 23, No. 11, 1937-1948 (2007). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A39 52A40 PDF BibTeX XML Cite \textit{W. Y. Yu} et al., Acta Math. Sin., Engl. Ser. 23, No. 11, 1937--1948 (2007; Zbl 1143.52007) Full Text: DOI OpenURL
Xiao, Jie The sharp Sobolev and isoperimetric inequalities split twice. (English) Zbl 1125.26026 Adv. Math. 211, No. 2, 417-435 (2007); corrigendum ibid. 268, 906-914 (2015). Reviewer: Wei Nian Li (Binzhou) MSC: 26D15 PDF BibTeX XML Cite \textit{J. Xiao}, Adv. Math. 211, No. 2, 417--435 (2007; Zbl 1125.26026) Full Text: DOI OpenURL