Martini, Horst; Papini, Pier Luigi; Wu, Senlin Variations of the James and Schäffer constants in Banach spaces. (English) Zbl 07795630 Ann. Funct. Anal. 15, No. 1, Paper No. 7, 12 p. (2024). MSC: 46B20 46B04 PDFBibTeX XMLCite \textit{H. Martini} et al., Ann. Funct. Anal. 15, No. 1, Paper No. 7, 12 p. (2024; Zbl 07795630) Full Text: DOI
Martini, Horst; Mustafaev, Zokhrab Cross-section measures, radii, and Radon curves. (English) Zbl 07740714 Quaest. Math. 46, No. 9, 1925-1936 (2023). MSC: 52A20 52A21 46B20 52A40 52A10 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Quaest. Math. 46, No. 9, 1925--1936 (2023; Zbl 07740714) Full Text: DOI
He, Chan; Lv, Yafang; Martini, Horst; Wu, Senlin A branch-and-bound approach for estimating covering functionals of convex bodies. (English) Zbl 1518.52009 J. Optim. Theory Appl. 196, No. 3, 1036-1055 (2023). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52C17 52A10 52A37 PDFBibTeX XMLCite \textit{C. He} et al., J. Optim. Theory Appl. 196, No. 3, 1036--1055 (2023; Zbl 1518.52009) Full Text: DOI
Alonso, Javier; Martini, Horst; Wu, Senlin Orthogonality types in normed linear spaces. (English) Zbl 1503.46009 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 97-170 (2022). Reviewer: Dirk Keppens (Gent) MSC: 46B20 46C15 51F20 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., in: Surveys in geometry I. Cham: Springer. 97--170 (2022; Zbl 1503.46009) Full Text: DOI
Balestro, Vitor; Martini, Horst Minkowski geometry – some concepts and recent developments. (English) Zbl 1506.52001 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022). Reviewer: Günter F. Steinke (Christchurch) MSC: 52-02 46B20 52A20 51-02 51B20 53A04 53A05 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{H. Martini}, in: Surveys in geometry I. Cham: Springer. 49--95 (2022; Zbl 1506.52001) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Convex analysis in normed spaces and metric projections onto convex bodies. (English) Zbl 1490.52007 J. Convex Anal. 28, No. 4, 1223-1248 (2021). Reviewer: T. D. Narang (Amritsar) MSC: 52A21 41A50 41A65 46B20 46G05 52A20 53C23 58C20 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 28, No. 4, 1223--1248 (2021; Zbl 1490.52007) Full Text: arXiv Link
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Some topics in differential geometry of normed spaces. (English) Zbl 1510.53013 Adv. Geom. 21, No. 1, 109-118 (2021). MSC: 53A35 46B20 53A15 53A10 52A15 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Adv. Geom. 21, No. 1, 109--118 (2021; Zbl 1510.53013) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Differential geometry of spatial curves for gauges. (English) Zbl 1467.46014 São Paulo J. Math. Sci. 14, No. 2, 496-509 (2020). MSC: 46B20 52A15 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., São Paulo J. Math. Sci. 14, No. 2, 496--509 (2020; Zbl 1467.46014) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Differential geometry of immersed surfaces in three-dimensional normed spaces. (English) Zbl 1475.53022 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111-134 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 52A15 52A21 46B20 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111--134 (2020; Zbl 1475.53022) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph On curvature of surfaces immersed in normed spaces. (English) Zbl 1452.53005 Monatsh. Math. 192, No. 2, 291-309 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 53A10 58B20 52A15 51B20 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 192, No. 2, 291--309 (2020; Zbl 1452.53005) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Curvature types of planar curves for gauges. (English) Zbl 1452.46013 J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020). MSC: 46B20 52A10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020; Zbl 1452.46013) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Balestro} et al., Expo. Math. 37, No. 4, 347--381 (2019; Zbl 1432.52001) Full Text: DOI arXiv
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst The inverse problem on roulettes in normed planes. (English) Zbl 1452.46012 Anal. Math. Phys. 9, No. 4, 2413-2434 (2019). MSC: 46B20 51M05 52A21 53A04 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 9, No. 4, 2413--2434 (2019; Zbl 1452.46012) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph A new geometric view on Sturm-Liouville eigenvalue problems. (English) Zbl 1423.51011 Monatsh. Math. 190, No. 2, 213-236 (2019). MSC: 51M05 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 190, No. 2, 213--236 (2019; Zbl 1423.51011) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Balestro} et al., Geom. Dedicata 201, 21--31 (2019; Zbl 1427.53010) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Optimal constants in normed planes. (English) Zbl 1420.46015 J. Convex Anal. 26, No. 1, 89-104 (2019). MSC: 46B20 52A10 52A21 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 26, No. 1, 89--104 (2019; Zbl 1420.46015) Full Text: arXiv Link
Balestro, Vitor; Martini, Horst; Teixeira, Ralph On Legendre curves in normed planes. (English) Zbl 1408.46017 Pac. J. Math. 297, No. 1, 1-27 (2018). MSC: 46B20 51L10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., Pac. J. Math. 297, No. 1, 1--27 (2018; Zbl 1408.46017) Full Text: DOI arXiv
Leopold, Undine; Martini, Horst Geometry of simplices in Minkowski spaces. (English) Zbl 1400.51017 Result. Math. 73, No. 2, Paper No. 83, 17 p. (2018). MSC: 51M20 51M05 52A10 52A20 52A21 52B11 PDFBibTeX XMLCite \textit{U. Leopold} and \textit{H. Martini}, Result. Math. 73, No. 2, Paper No. 83, 17 p. (2018; Zbl 1400.51017) Full Text: DOI arXiv
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst Angle measures, general rotations, and roulettes in normed planes. (English) Zbl 1388.46016 Anal. Math. Phys. 7, No. 4, 549-575 (2017). MSC: 46B20 51M05 52A21 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 7, No. 4, 549--575 (2017; Zbl 1388.46016) Full Text: DOI arXiv
Jahn, Thomas; Martini, Horst; Richter, Christian Ball convex bodies in Minkowski spaces. (English) Zbl 1378.46015 Pac. J. Math. 289, No. 2, 287-316 (2017). MSC: 46B20 52A01 52A20 52A21 52A35 PDFBibTeX XMLCite \textit{T. Jahn} et al., Pac. J. Math. 289, No. 2, 287--316 (2017; Zbl 1378.46015) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Balestro} et al., Aequationes Math. 91, No. 2, 201--236 (2017; Zbl 1365.52006) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Geometric properties of a sine function extendable to arbitrary normed planes. (English) Zbl 1367.52005 Monatsh. Math. 182, No. 4, 781-800 (2017). MSC: 52A21 33B10 46B20 52A10 51M05 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 182, No. 4, 781--800 (2017; Zbl 1367.52005) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph A new construction of Radon curves and related topics. (English) Zbl 1372.52004 Aequationes Math. 90, No. 5, 1013-1024 (2016). Reviewer: A. E. Litvak (Edmonton) MSC: 52A10 32A70 46B20 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Aequationes Math. 90, No. 5, 1013--1024 (2016; Zbl 1372.52004) Full Text: DOI arXiv
He, Chan; Martini, Horst; Wu, Senlin On covering functionals of convex bodies. (English) Zbl 1334.52007 J. Math. Anal. Appl. 437, No. 2, 1236-1256 (2016). MSC: 52A21 46B25 PDFBibTeX XMLCite \textit{C. He} et al., J. Math. Anal. Appl. 437, No. 2, 1236--1256 (2016; Zbl 1334.52007) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Beitr. Algebra Geom. 56, No. 2, 533--539 (2015; Zbl 1347.52008) Full Text: DOI arXiv
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian Minsum location extended to gauges and to convex sets. (English) Zbl 1329.52010 J. Optim. Theory Appl. 166, No. 3, 711-746 (2015). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A41 46N10 46A22 46B20 49K10 49N15 52A20 52A21 90B85 90C25 90C46 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Optim. Theory Appl. 166, No. 3, 711--746 (2015; Zbl 1329.52010) Full Text: DOI arXiv
Martini, Horst; Wu, Senlin Orthogonalities, transitivity of norms and characterizations of Hilbert spaces. (English) Zbl 1322.46009 Rocky Mt. J. Math. 45, No. 1, 287-301 (2015). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46B04 46C15 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Rocky Mt. J. Math. 45, No. 1, 287--301 (2015; Zbl 1322.46009) Full Text: DOI Euclid
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 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Comput. Aided Geom. Des. 31, No. 7--8, 373--397 (2014; Zbl 1364.52005) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Lassak} and \textit{H. Martini}, Result. Math. 66, No. 3--4, 405--426 (2014; Zbl 1310.52004) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Lassak} et al., Rocky Mt. J. Math. 44, No. 4, 1281--1299 (2014; Zbl 1305.52022) Full Text: DOI Euclid
Martini, Horst; Spirova, Margarita; Strambach, Karl Geometric algebra of strictly convex Minkowski planes. (English) Zbl 1320.46015 Aequationes Math. 88, No. 1-2, 49-66 (2014). MSC: 46B20 51F15 51F20 52A10 52A21 PDFBibTeX XMLCite \textit{H. Martini} et al., Aequationes Math. 88, No. 1--2, 49--66 (2014; Zbl 1320.46015) Full Text: DOI
Martini, Horst; Wu, Senlin Characterizations of \(l_\infty^n\) and \(l_1^n\), and their stabilities. (English) Zbl 1294.52006 J. Math. Anal. Appl. 419, No. 2, 688-702 (2014). MSC: 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, J. Math. Anal. Appl. 419, No. 2, 688--702 (2014; Zbl 1294.52006) Full Text: DOI
Hajja, Mowaffaq; Martini, Horst Concurrency of the altitudes of a triangle. (English) Zbl 1291.51012 Math. Semesterber. 60, No. 2, 249-260 (2013). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 51-03 01A20 01A30 51M15 51N20 PDFBibTeX XMLCite \textit{M. Hajja} and \textit{H. Martini}, Math. Semesterber. 60, No. 2, 249--260 (2013; Zbl 1291.51012) Full Text: DOI
Alonso, Javier; Martini, Horst; Spirova, Margarita On reduced triangles in normed planes. (English) Zbl 1296.46011 Result. Math. 64, No. 3-4, 269-288 (2013). Reviewer: David Yost (Ballarat) MSC: 46B20 52A10 51N10 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., Result. Math. 64, No. 3--4, 269--288 (2013; Zbl 1296.46011) Full Text: DOI
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita The Fermat-Torricelli problem. I: A discrete gradient-method approach. (English) Zbl 1292.90282 J. Optim. Theory Appl. 158, No. 2, 305-327 (2013). Reviewer: Gerhard-Wilhelm Weber (Ankara) MSC: 90C30 90B85 PDFBibTeX XMLCite \textit{Y. S. Kupitz} et al., J. Optim. Theory Appl. 158, No. 2, 305--327 (2013; Zbl 1292.90282) Full Text: DOI
Alonso, Javier; Martini, Horst; Spirova, Margarita Discrete geometry in Minkowski spaces. (English) Zbl 1290.52007 Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 1-15 (2013). Reviewer: A. E. Litvak (Edmonton) MSC: 52A21 52A10 52B12 52C15 52C17 52C20 46B20 90B85 PDFBibTeX XMLCite \textit{J. Alonso} et al., Fields Inst. Commun. 69, 1--15 (2013; Zbl 1290.52007) Full Text: DOI
Martini, Horst; Wu, Senlin Cassini curves in normed planes. (English) Zbl 1276.52008 Result. Math. 63, No. 3-4, 1159-1175 (2013). Reviewer: Martin Henk (Magdeburg) MSC: 52A21 52A10 46B20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Result. Math. 63, No. 3--4, 1159--1175 (2013; Zbl 1276.52008) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Shcherba}, Aequationes Math. 84, No. 1--2, 157--183 (2012; Zbl 1260.46011) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M.-C. Körner} et al., Discrete Appl. Math. 160, No. 15, 2221--2233 (2012; Zbl 1250.90049) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Alonso} et al., Comput. Geom. 45, No. 7, 350--369 (2012; Zbl 1251.65016) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Alonso} et al., Comput. Geom. 45, No. 5--6, 258--274 (2012; Zbl 1245.65022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Alonso} et al., Aequationes Math. 83, No. 1--2, 153--189 (2012; Zbl 1241.46006) Full Text: DOI Backlinks: MO
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 PDFBibTeX XMLCite \textit{H. Martini} et al., Math. Intell. 33, No. 3, 115--125 (2011; Zbl 1233.52005) Full Text: DOI
Martini, Horst; Mozgawa, Witold An integral formula related to inner isoptics. (English) Zbl 1252.52003 Rend. Semin. Mat. Univ. Padova 125, 39-49 (2011). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 53C65 PDFBibTeX XMLCite \textit{H. Martini} and \textit{W. Mozgawa}, Rend. Semin. Mat. Univ. Padova 125, 39--49 (2011; Zbl 1252.52003) Full Text: DOI EuDML Link
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 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Shcherba}, Beitr. Algebra Geom. 52, No. 1, 191--203 (2011; Zbl 1222.52001) Full Text: DOI
Martini, Horst; Wu, Senlin Tangent segments and orthogonality types in normed planes. (English) Zbl 1228.51020 J. Geom. 99, No. 1-2, 89-100 (2010). MSC: 51M05 51B20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, J. Geom. 99, No. 1--2, 89--100 (2010; Zbl 1228.51020) Full Text: DOI
Martini, Horst; Spirova, Margarita A new type of orthogonality for normed planes. (English) Zbl 1224.46026 Czech. Math. J. 60, No. 2, 339-349 (2010). MSC: 46B20 46C15 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{M. Spirova}, Czech. Math. J. 60, No. 2, 339--349 (2010; Zbl 1224.46026) Full Text: DOI EuDML Link
Alonso, Javier; Martini, Horst; Spirova, Margarita Visibility in crowds of translates of a centrally symmetric convex body. (English) Zbl 1194.68242 Eur. J. Comb. 31, No. 3, 710-719 (2010). MSC: 68U05 52A05 PDFBibTeX XMLCite \textit{J. Alonso} et al., Eur. J. Comb. 31, No. 3, 710--719 (2010; Zbl 1194.68242) Full Text: DOI
Martini, H.; Spirova, M. On the circular hull property in normed planes. (English) Zbl 1212.46032 Acta Math. Hung. 125, No. 3, 275-285 (2009). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46B20 52A10 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{M. Spirova}, Acta Math. Hung. 125, No. 3, 275--285 (2009; Zbl 1212.46032) Full Text: DOI
Martini, Horst; Spirova, Margarita On regular 4-coverings and their application for lattice coverings in normed planes. (English) Zbl 1186.52007 Discrete Math. 309, No. 16, 5158-5168 (2009). MSC: 52C15 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{M. Spirova}, Discrete Math. 309, No. 16, 5158--5168 (2009; Zbl 1186.52007) Full Text: DOI
Martini, H.; Swanepoel, K. J.; de Wet, P. Oloff Absorbing angles, Steiner minimal trees, and antipodality. (English) Zbl 1177.90398 J. Optim. Theory Appl. 143, No. 1, 149-157 (2009). MSC: 90C35 PDFBibTeX XMLCite \textit{H. Martini} et al., J. Optim. Theory Appl. 143, No. 1, 149--157 (2009; Zbl 1177.90398) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Comput. Geom. 42, No. 4, 315--321 (2009; Zbl 1161.65014) Full Text: DOI
Martini, Horst; Wu, Senlin Halving circular arcs in normed planes. (English) Zbl 1199.46064 Period. Math. Hung. 57, No. 2, 207-215 (2008). Reviewer: Anatolij M. Plichko (Krakow) MSC: 46C15 46B20 52A21 51B20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Period. Math. Hung. 57, No. 2, 207--215 (2008; Zbl 1199.46064) Full Text: DOI
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst Orthocentric simplices and their centers. (English) Zbl 1084.51008 Result. Math. 47, No. 3-4, 266-295 (2005). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51M20 51M05 51M04 51N20 PDFBibTeX XMLCite \textit{A. L. Edmonds} et al., Result. Math. 47, No. 3--4, 266--295 (2005; Zbl 1084.51008) Full Text: DOI arXiv
Martini, H.; Swanepoel, K. J. The geometry of Minkowski spaces – a survey. II. (English) Zbl 1080.52005 Expo. Math. 22, No. 2, 93-144 (2004). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A21 46B20 52-02 52A01 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Expo. Math. 22, No. 2, 93--144 (2004; Zbl 1080.52005) Full Text: DOI
Martini, Horst; Swanepoel, Konrad J.; Weiß, Gunter The geometry of Minkowski spaces – a survey. I. (English) Zbl 0984.52004 Expo. Math. 19, No. 2, 97-142 (2001). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A21 52A10 52-02 PDFBibTeX XMLCite \textit{H. Martini} et al., Expo. Math. 19, No. 2, 97--142 (2001; Zbl 0984.52004) Full Text: DOI arXiv