×
Author ID: martini.horst Recent zbMATH articles by "Martini, Horst"
Published as: Martini, Horst; Martini, H.
Homepage: https://www.tu-chemnitz.de/mathematik/geometrie/index.php
External Links: MGP · dblp · GND
Documents Indexed: 296 Publications since 1984, including 5 Books and 4 Additional arXiv Preprints
2 Contributions as Editor
Reviewing Activity: 483 Reviews
Biographic References: 1 Publication
Co-Authors: 73 Co-Authors with 261 Joint Publications
986 Co-Co-Authors
all top 5

Co-Authors

33 single-authored
31 Spirova, Margarita Georgieva
28 Kupitz, Yaakov S.
27 Wu, Senlin
23 Balestro, Vitor
16 Makai, Endre jun.
15 Maehara, Hiroshi
15 Teixeira, Ralph Costa
14 Boltyanskij, Vladimir Grigor’evich
13 Mustafaev, Zokhrab
12 Hajja, Mowaffaq
12 Swanepoel, Konrad J.
11 Perles, Micha A.
11 Soltan, Valeriu
8 Alonso, Javier
8 Wenzel, Walter
6 Averkov, Gennadiy
6 He, Chan
6 Soltan, Petru
5 Horváth, Ákos G.
5 Richter, Christian
5 Schöbel, Anita
4 Jahn, Thomas
4 Lassak, Marek
4 Martín Jimenez, Pedro
4 Mozgawa, Witold
4 Shcherba, Anatoly I.
4 Weiß, Gunter
4 Weißbach, Bernulf
3 Cieślak, Waldemar
3 Edmonds, Allan L.
3 Geise, Gerhard
3 Ghandehari, Mostafa
3 Hansen, Guillermo L.
3 Ódor, Tibor
2 Hayajneh, Mostafa
2 Korneenko, Nikolai M.
2 Leopold, Undine
2 Papini, Pier Luigi
2 Sakaki, Makoto
2 Vincenzi, Giovanni
2 Wegner, Bernd
1 Anatriello, Giuseppina
1 Bordei, Alexei
1 Brandenberg, René
1 Craizer, Marcos
1 de Wet, Pieter Oloff
1 Donisi, Serena
1 Gao, Laiyuan
1 González Merino, Bernardo
1 Hammoudeh, Ismail
1 Hansen, Gerd
1 Heil, Erhard
1 Herburt, Irmina
1 Hlibiciuc, Valentin
1 Ivanov, Grigory M.
1 Körner, Mark-Christoph
1 Krasopoulos, Panagiotis T.
1 Kuwata, Takayasu
1 Last, Hagit
1 Lv, Yafang
1 Montejano Peimbert, Luis
1 Moszyńska, Maria
1 Nam, Nguyen Mau
1 Nguyên Manh Hung
1 Nikonorov, Yurii Gennadyevich
1 Nikonorova, Yulia V.
1 Oliveros, Deborah
1 Pinchasi, Rom
1 Prisacaru, Kiril
1 Robinson, Adam
1 Schiel, Uwe
1 Schur, Zvi
1 Shonoda, Emad N.
1 Strambach, Karl
1 Talata, István
1 Vitale, Gaetano
1 Zhang, Deyan
all top 5

Serials

23 Beiträge zur Algebra und Geometrie
14 Results in Mathematics
13 Aequationes Mathematicae
9 Periodica Mathematica Hungarica
9 Geometriae Dedicata
9 Journal of Geometry
8 Studia Scientiarum Mathematicarum Hungarica
8 Journal of Convex Analysis
7 Discrete Mathematics
6 Colloquium Mathematicum
6 Acta Mathematica Hungarica
5 Journal of Optimization Theory and Applications
5 Monatshefte für Mathematik
5 Discrete & Computational Geometry
5 Extracta Mathematicae
5 Advances in Geometry
4 Rocky Mountain Journal of Mathematics
4 Acta Scientiarum Mathematicarum
4 Archiv der Mathematik
4 Canadian Mathematical Bulletin
4 Elemente der Mathematik
4 Expositiones Mathematicae
4 Mathematical Inequalities & Applications
3 American Mathematical Monthly
3 Discrete Applied Mathematics
3 Mathematische Semesterberichte
3 Journal of Graph Theory
3 Mathematika
3 Publicationes Mathematicae Debrecen
3 European Journal of Combinatorics
3 Note di Matematica
3 Graphs and Combinatorics
3 Applied Mathematics Letters
3 Computational Geometry
3 Mitteilungen der Mathematischen Gesellschaft in Hamburg
3 Journal for Geometry and Graphics
3 East-West Journal of Mathematics
3 Annals of Functional Analysis
2 Journal of Mathematical Analysis and Applications
2 The Mathematical Intelligencer
2 Journal of Combinatorial Theory. Series A
2 The Mathematics Student
2 Pacific Journal of Mathematics
2 Computer Aided Geometric Design
2 L’Enseignement Mathématique. 2e Série
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Congressus Numerantium
2 Studies in Locational Analysis
2 Ars Mathematica Contemporanea
2 Analysis and Mathematical Physics
1 Bulletin of the Australian Mathematical Society
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 The Mathematical Gazette
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matematico della Università di Padova
1 Utilitas Mathematica
1 Potsdamer Forschungen. Wissenschaftliche Schriftenreihe der Pädagogischen Hochschule ”Karl Liebknecht” Potsdam. Reihe B. Naturwissenschaftliche Reihe
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 International Journal of Computational Geometry & Applications
1 Irish Mathematical Society Bulletin
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Georgian Mathematical Journal
1 Journal of Inequalities and Applications
1 Annals of Combinatorics
1 DGDS. Differential Geometry – Dynamical Systems
1 Anale Ştiinţifice Facultatea de Matematică şi Informatică. Universitatea de Stat din Moldova
1 Contributions to Discrete Mathematics
1 Combinatorial Optimization
1 Journal of Mathematical Inequalities
1 Banach Journal of Mathematical Analysis
1 São Paulo Journal of Mathematical Sciences
1 Journal of Computational Geometry
1 Southeast Asian Journal of Sciences
1 Universitext

Publications by Year

Citations contained in zbMATH Open

227 Publications have been cited 1,828 times in 839 Documents Cited by Year
On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Zbl 1241.46006
Alonso, Javier; Martini, Horst; Wu, Senlin
119
2012
The geometry of Minkowski spaces – a survey. I. Zbl 0984.52004
Martini, Horst; Swanepoel, Konrad J.; Weiß, Gunter
113
2001
Excursions into combinatorial geometry. Zbl 0877.52001
Boltyanski, V.; Martini, H.; Soltan, Petru S.
106
1997
The geometry of Minkowski spaces – a survey. II. Zbl 1080.52005
Martini, H.; Swanepoel, K. J.
83
2004
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
63
1999
Antinorms and Radon curves. Zbl 1108.52005
Martini, Horst; Swanepoel, Konrad J.
58
2006
Bodies of constant width. An introduction to convex geometry with applications. Zbl 1468.52001
Martini, Horst; Montejano, Luis; Oliveros, Déborah
55
2019
Combinatorial problems on the illumination of convex bodies. Zbl 0937.52006
Martini, Horst; Soltan, Valeriu
45
1999
Special convex bodies. Zbl 0794.52002
Heil, E.; Martini, H.
40
1993
Geometric aspects of the generalized Fermat-Torricelli problem. Zbl 0911.51021
Kupitz, Y. S.; Martini, H.
39
1997
The Fermat–Torricelli problem in normed planes and spaces. Zbl 1047.90032
Martini, H.; Swanepoel, K. J.; Weiss, G.
33
2002
Angles in normed spaces. Zbl 1365.52006
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph
22
2017
Ball polytopes and the Vázsonyi problem. Zbl 1224.52025
Kupitz, Y. S.; Martini, H.; Perles, M. A.
17
2010
Reduced convex bodies in Euclidean space – a survey. Zbl 1213.52006
Lassak, Marek; Martini, Horst
17
2011
Antipodality properties of finite sets in Euclidean space. Zbl 1066.52010
Martini, H.; Soltan, V.
16
2005
Orthocentric simplices and their centers. Zbl 1084.51008
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
16
2005
Hyperplane approximation and related topics. Zbl 0809.52013
Korneenko, Nikolai M.; Martini, Horst
16
1993
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. Zbl 1245.65022
Alonso, Javier; Martini, Horst; Spirova, Margarita
15
2012
The Feuerbach circle and orthocentricity in normed places. Zbl 1144.52001
Martini, Horst; Spirova, Margarita
15
2007
Reduced convex bodies in finite dimensional normed spaces: a survey. Zbl 1310.52004
Lassak, Marek; Martini, Horst
14
2014
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. Zbl 1251.65016
Alonso, Javier; Martini, Horst; Spirova, Margarita
14
2012
Reduced bodies in Minkowski space. Zbl 1084.52004
Lassak, M.; Martini, H.
14
2005
On the theorem of Napoleon and related topics. Zbl 0864.51009
Martini, Horst
14
1996
Median hyperplanes in normed spaces – a survey. Zbl 0921.90109
Martini, Horst; Schöbel, Anita
13
1998
Coincidences of simplex centers and related facial structures. Zbl 1093.51014
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
13
2005
Geometric properties of a sine function extendable to arbitrary normed planes. Zbl 1367.52005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
12
2017
Maximal sections and centrally symmetric bodies. Zbl 1012.52008
Makai, E. jun.; Martini, H.; Ódor, T.
12
2000
The cross-section body, plane sections of convex bodies and approximation of convex bodies. I. Zbl 0865.52005
Makai, E. jun.; Martini, H.
12
1996
Starshaped sets. Zbl 1454.52001
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M.
12
2020
Orthogonality types in normed linear spaces. Zbl 1503.46009
Alonso, Javier; Martini, Horst; Wu, Senlin
12
2022
Median and center hyperplanes in Minkowski spaces – a unified approach. Zbl 1010.51002
Martini, H.; Schöbel, A.
11
2001
Some results and problems around zonotopes. Zbl 0634.52007
Martini, H.
11
1987
The Fermat-Torricelli point and isosceles tetrahedra. Zbl 0795.51006
Kupitz, Yaakov S.; Martini, Horst
11
1994
A hierarchical classification of Euclidean polytopes with regularity properties. Zbl 0812.51015
Martini, Horst
11
1994
Concepts of curvatures in normed planes. Zbl 1432.52001
Balestro, Vitor; Martini, Horst; Shonoda, Emad
11
2019
A new construction of Radon curves and related topics. Zbl 1372.52004
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
11
2016
Napoleon’s theorem with weights in \(n\)-space. Zbl 0920.51008
Martini, H.; Weißbach, B.
10
1999
Classical curve theory in normed planes. Zbl 1364.52005
Martini, Horst; Wu, Senlin
10
2014
New extensions of Napoleon’s theorem to higher dimensions. Zbl 1142.51015
Hajja, Mowaffaq; Martini, Horst; Spirova, Margarita
10
2008
Geometric constants for quantifying the difference between orthogonality types. Zbl 1365.46012
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
10
2016
Minsum location extended to gauges and to convex sets. Zbl 1329.52010
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian
9
2015
The Fermat-Torricelli problem. I: A discrete gradient-method approach. Zbl 1292.90282
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita
9
2013
Cross-sectional measures. Zbl 0820.52003
Martini, H.
9
1994
Recent results in elementary geometry. II. Zbl 0852.51013
Martini, Horst
9
1995
Surface immersions in normed spaces from the affine point of view. Zbl 1427.53010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
8
2019
Geometric algebra of strictly convex Minkowski planes. Zbl 1320.46015
Martini, Horst; Spirova, Margarita; Strambach, Karl
8
2014
Ball convex bodies in Minkowski spaces. Zbl 1378.46015
Jahn, Thomas; Martini, Horst; Richter, Christian
8
2017
Non-planar simplices are not reduced. Zbl 1048.52002
Martini, H.; Swanepoel, K. J.
8
2004
Illumination and visibility problems in terms of closure operators. Zbl 1074.52001
Martini, Horst; Wenzel, Walter
8
2004
Equiframed curves – a generalization of Radon curves. Zbl 1071.52002
Martini, Horst; Swanepoel, Konrad J.
8
2004
On converses of Napoleon’s theorem and a modified shape function. Zbl 1116.51013
Hajja, Mowaffaq; Martini, Horst; Spirova, Margarita
8
2006
On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}{}^ d\). Zbl 0738.52005
Makai, E. jun.; Martini, H.
8
1991
On Zindler curves in normed planes. Zbl 1276.52007
Martini, Horst; Wu, Senlin
8
2012
A new construction of curves of constant width. Zbl 1172.51309
Martini, Horst; Mustafaev, Zokhrab
8
2008
Clifford’s chain of theorems in strictly convex Minkowski planes. Zbl 1174.51005
Martini, Horst; Spirova, Margarita
8
2008
Radial projections of bisectors in Minkowski spaces. Zbl 1158.52007
Martini, Horst; Wu, Senlin
8
2008
On reduced polytopes and antipodality. Zbl 1158.52012
Averkov, Gennadiy; Martini, Horst
8
2008
Some applications of cross-section measures in Minkowski spaces. Zbl 1121.52022
Martini, H.; Mustafaev, Z.
8
2006
Orthocentric simplices and biregularity. Zbl 1146.51016
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
8
2008
Illuminating and covering convex bodies. Zbl 1303.52009
Martini, Horst; Richter, Christian; Spirova, Margarita
7
2014
On bisectors for convex distance functions. Zbl 1302.46012
He, Chan; Martini, Horst; Wu, Senlin
7
2013
On maps preserving isosceles orthogonality in normed linear spaces. Zbl 1216.46008
Martini, Horst; Wu, Senlin
7
2009
Chebyshev sets and ball operators. Zbl 1303.41014
Martín, Pedro; Martini, Horst; Spirova, Margarita
7
2014
Two characterizations of smooth norms. Zbl 0952.52006
Martini, H.; Schöbel, A.
7
1999
Generalized convexity notions and combinatorial geometry. Zbl 1051.52004
Martini, H.; Swanepoel, K. J.
7
2003
Reflections in strictly convex Minkowski planes. Zbl 1214.52002
Martini, Horst; Spirova, Margarita
7
2009
Orthocentric simplices as the true generalizations of triangles. Zbl 1287.51011
Hajja, Mowaffaq; Martini, Horst
7
2013
Conics in normed planes. Zbl 1266.46011
Horváth, Ákos G.; Martini, Horst
7
2011
Approximating finite weighted point sets by hyperplanes. Zbl 0703.68097
Korneenko, N. M.; Martini, H.
7
1990
On covering functionals of convex bodies. Zbl 1334.52007
He, Chan; Martini, Horst; Wu, Senlin
7
2016
Involutes of polygons of constant width in Minkowski planes. Zbl 1354.52003
Craizer, Marcos; Martini, Horst
7
2016
Convex polytopes whose projection bodies and difference sets are polars. Zbl 0679.52002
Martini, Horst
6
1991
Low-degree minimal spanning trees in normed spaces. Zbl 1105.46010
Martini, Horst; Swanepoel, Konrad J.
6
2006
Polygons derived from polygons via iterated constructions. Zbl 1341.51016
Donisi, Serena; Martini, Horst; Vincenzi, Giovanni; Vitale, Gaetano
6
2016
Bi- and multifocal curves and surfaces for gauges. Zbl 1348.51006
Jahn, Thomas; Martini, Horst; Richter, Christian
6
2016
On the isoperimetric inequalities for Reuleaux polygons. Zbl 0956.51011
Kupitz, Yaakov S.; Martini, Horst
6
2000
On the circular hull property in normed planes. Zbl 1212.46032
Martini, H.; Spirova, M.
6
2009
On the number of maximal regular simplices determined by \(n\) points in \(\mathbb R^d\). Zbl 1081.52016
Schur, Zvi; Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S.
6
2003
Starshapedness vs. convexity. Zbl 1218.52004
Hansen, Guillermo; Martini, Horst
6
2011
On the rotation index of bar billiards and Poncelet’s porism. Zbl 1278.53006
Cieślak, W.; Martini, H.; Mozgawa, W.
6
2013
Intersections of balls and sets of constant width in finite-dimensional normed spaces. Zbl 1278.52002
Martini, Horst; Richter, Christian; Spirova, Margarita
6
2013
Symmetrization of closure operators and visibility. Zbl 1099.06003
Martini, Horst; Wenzel, Walter
6
2005
Finite sets in \(\mathbb R^d\) with many diameters – a survey. Zbl 1141.51300
Kupitz, Y. S.; Martini, H.; Perles, M. A.
6
2005
Combinatorial geometry of belt bodies. Zbl 0853.52004
Boltyanski, V.; Martini, H.
6
1995
Star-shaped sets in normed spaces. Zbl 0847.52003
Boltyanski, V.; Martini, H.; Soltan, P. S.
6
1996
Shadow-boundaries of convex bodies. Zbl 0863.52003
Martini, Horst
6
1996
Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006
Boltyanski, Vladimir; Martini, Horst
6
2006
More characterizations of certain special families of simplices. Zbl 1335.52024
Hajja, M.; Hayajneh, M.; Martini, H.
6
2016
On Reuleaux triangles in Minkowski planes. Zbl 1121.52006
Martini, Horst; Mustafaev, Zokhrab
6
2007
Is a complete, reduced set necessarily of constant width? Zbl 1428.52004
Brandenberg, René; González Merino, Bernardo; Jahn, Thomas; Martini, Horst
6
2019
Angle measures, general rotations, and roulettes in normed planes. Zbl 1388.46016
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst
6
2017
Zur besten Beleuchtung konvexer Polyeder. Zbl 0543.52014
Martini, Horst; Weißbach, Bernulf
5
1984
Complete sets need not be reduced in Minkowski spaces. Zbl 1347.52008
Martini, Horst; Wu, Senlin
5
2015
Orthogonalities, transitivity of norms and characterizations of Hilbert spaces. Zbl 1322.46009
Martini, Horst; Wu, Senlin
5
2015
A characterization of convex sets via visibility. Zbl 1013.52005
Martini, H.; Wenzel, W.
5
2002
On orthogonal chords in normed planes. Zbl 1214.52001
Alonso, Javier; Martini, Horst; Mustafaev, Zokhrab
5
2011
Cassini curves in light field theory. (Cassini-Kurven in der Lichtfeldtheorie.) Zbl 0762.51011
Martini, Horst; Schiel, Uwe
5
1992
An analogue of the Krein-Milman theorem for star-shaped sets. Zbl 1043.52006
Martini, Horst; Wenzel, Walter
5
2003
A linear-time construction of Reuleaux polygons. Zbl 0876.52002
Kupitz, Yaakov; Martini, Horst; Wegner, Bernd
5
1996
On regular 4-coverings and their application for lattice coverings in normed planes. Zbl 1186.52007
Martini, Horst; Spirova, Margarita
5
2009
Orthogonality types in normed linear spaces. Zbl 1503.46009
Alonso, Javier; Martini, Horst; Wu, Senlin
12
2022
The median triangle theorem as an entrance to certain issues in higher-dimensional geometry. Zbl 1502.51006
Hajja, Mowaffaq; Krasopoulos, Panagiotis T.; Martini, Horst
1
2022
Duality of gauges and symplectic forms in vector spaces. Zbl 1482.52010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
3
2021
Convex analysis in normed spaces and metric projections onto convex bodies. Zbl 1490.52007
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
3
2021
Some topics in differential geometry of normed spaces. Zbl 1510.53013
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
3
2021
Extremal problems for convex curves with a given self Chebyshev radius. Zbl 1469.52002
Balestro, Vitor; Martini, Horst; Nikonorov, Yurii; Nikonorova, Yulia
1
2021
Starshaped sets. Zbl 1454.52001
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M.
12
2020
On curvature of surfaces immersed in normed spaces. Zbl 1452.53005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
4
2020
Differential geometry of immersed surfaces in three-dimensional normed spaces. Zbl 1475.53022
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
4
2020
Tangent spheres of tetrahedra and a theorem of Grace. Zbl 1454.51009
Maehara, Hiroshi; Martini, Horst
2
2020
On Holditch’s theorem. Zbl 1440.53002
Cieślak, Waldemar; Martini, Horst; Mozgawa, Witold
2
2020
Curvature types of planar curves for gauges. Zbl 1452.46013
Balestro, Vitor; Martini, Horst; Sakaki, Makoto
1
2020
Crossing matchings and circuits have maximal length. Zbl 1495.05151
Kupitz, Yaakov S.; Last, Hagit; Martini, Horst; Perles, Micha A.; Pinchasi, Rom
1
2020
Bodies of constant width. An introduction to convex geometry with applications. Zbl 1468.52001
Martini, Horst; Montejano, Luis; Oliveros, Déborah
55
2019
Concepts of curvatures in normed planes. Zbl 1432.52001
Balestro, Vitor; Martini, Horst; Shonoda, Emad
11
2019
Surface immersions in normed spaces from the affine point of view. Zbl 1427.53010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
8
2019
Is a complete, reduced set necessarily of constant width? Zbl 1428.52004
Brandenberg, René; González Merino, Bernardo; Jahn, Thomas; Martini, Horst
6
2019
The Rosenthal-Szasz inequality for normed planes. Zbl 1406.52004
Balestro, Vitor; Martini, Horst
3
2019
Optimal constants in normed planes. Zbl 1420.46015
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
3
2019
On self-circumferences in Minkowski planes. Zbl 1427.52007
Ghandehari, Mostafa; Martini, Horst
1
2019
Bipartite sets of spheres and Casey-type theorems. Zbl 1409.51016
Maehara, Hiroshi; Martini, Horst
1
2019
The inverse problem on roulettes in normed planes. Zbl 1452.46012
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst
1
2019
On Legendre curves in normed planes. Zbl 1408.46017
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
4
2018
An analogue of Sylvester’s four-point problem on the sphere. Zbl 1449.60013
Maehara, H.; Martini, H.
3
2018
Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces. Zbl 1415.51030
Leopold, Undine; Martini, Horst
2
2018
On the Erdős-Mordell inequality for normed planes and spaces. Zbl 1413.46018
Ghandehari, Mostafa; Martini, Horst
2
2018
A synthetic way to geometrize the method of coordinates. Zbl 1404.51015
Anatriello, Giuseppina; Martini, Horst; Vincenzi, Giovanni
1
2018
Geometry of simplices in Minkowski spaces. Zbl 1400.51017
Leopold, Undine; Martini, Horst
1
2018
Uniqueness of completions and related topics. Zbl 1417.46012
He, Chan; Martini, Horst; Wu, Senlin
1
2018
Angles in normed spaces. Zbl 1365.52006
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph
22
2017
Geometric properties of a sine function extendable to arbitrary normed planes. Zbl 1367.52005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
12
2017
Ball convex bodies in Minkowski spaces. Zbl 1378.46015
Jahn, Thomas; Martini, Horst; Richter, Christian
8
2017
Angle measures, general rotations, and roulettes in normed planes. Zbl 1388.46016
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst
6
2017
On Lexell’s theorem. Zbl 1391.51017
Maehara, Hiroshi; Martini, Horst
4
2017
New moduli for Banach spaces. Zbl 1379.46018
Ivanov, G.; Martini, H.
3
2017
Outer normal transforms of convex polytopes. Zbl 1378.52012
Maehara, Hiroshi; Martini, Horst
2
2017
Geometric probability on the sphere. Zbl 1401.60019
Maehara, Hiroshi; Martini, Horst
2
2017
New inequalities for products of cross-section measures. Zbl 1377.52006
Martini, Horst; Mustafaev, Zokhrab
2
2017
Holding convex polyhedra by circular rings. Zbl 1406.52006
Maehara, Hiroshi; Martini, Horst
1
2017
Locally 3-transitive graphs of girth 4. Zbl 1359.05032
Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S.
1
2017
A new construction of Radon curves and related topics. Zbl 1372.52004
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
11
2016
Geometric constants for quantifying the difference between orthogonality types. Zbl 1365.46012
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
10
2016
On covering functionals of convex bodies. Zbl 1334.52007
He, Chan; Martini, Horst; Wu, Senlin
7
2016
Involutes of polygons of constant width in Minkowski planes. Zbl 1354.52003
Craizer, Marcos; Martini, Horst
7
2016
Polygons derived from polygons via iterated constructions. Zbl 1341.51016
Donisi, Serena; Martini, Horst; Vincenzi, Giovanni; Vitale, Gaetano
6
2016
Bi- and multifocal curves and surfaces for gauges. Zbl 1348.51006
Jahn, Thomas; Martini, Horst; Richter, Christian
6
2016
More characterizations of certain special families of simplices. Zbl 1335.52024
Hajja, M.; Hayajneh, M.; Martini, H.
6
2016
Minsum location extended to gauges and to convex sets. Zbl 1329.52010
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian
9
2015
Complete sets need not be reduced in Minkowski spaces. Zbl 1347.52008
Martini, Horst; Wu, Senlin
5
2015
Orthogonalities, transitivity of norms and characterizations of Hilbert spaces. Zbl 1322.46009
Martini, Horst; Wu, Senlin
5
2015
Algorithms for ball hulls and ball intersections in normed planes. Zbl 1408.52025
Martín, Pedro; Martini, Horst
2
2015
Centered convex bodies and inequalities for cross-section measures. Zbl 1331.52007
Martini, Horst; Mustafaev, Zokhrab
1
2015
Reduced convex bodies in finite dimensional normed spaces: a survey. Zbl 1310.52004
Lassak, Marek; Martini, Horst
14
2014
Classical curve theory in normed planes. Zbl 1364.52005
Martini, Horst; Wu, Senlin
10
2014
Geometric algebra of strictly convex Minkowski planes. Zbl 1320.46015
Martini, Horst; Spirova, Margarita; Strambach, Karl
8
2014
Illuminating and covering convex bodies. Zbl 1303.52009
Martini, Horst; Richter, Christian; Spirova, Margarita
7
2014
Chebyshev sets and ball operators. Zbl 1303.41014
Martín, Pedro; Martini, Horst; Spirova, Margarita
7
2014
On translative coverings of convex bodies. Zbl 1305.52022
Lassak, Marek; Martini, Horst; Spirova, Margarita
3
2014
Complete sets and completion of sets in Banach spaces. Zbl 1311.46015
Martini, Horst; Papini, Pier Luigi; Spirova, Margarita
3
2014
Characterizations of \(l_\infty^n\) and \(l_1^n\), and their stabilities. Zbl 1294.52006
Martini, Horst; Wu, Senlin
2
2014
Dispensable points, radial functions, and boundaries of starshaped sets. Zbl 1340.52002
Hansen, Guillermo; Martini, Horst
1
2014
Rotation indices related to Poncelet’s closure theorem. Zbl 1312.51005
Cieślak, Waldemar; Martini, Horst; Mozgawa, Witold
1
2014
On a theorem of D. Ryabogin and V. Yaskin about detecting symmetry. Zbl 1381.52011
Makai, E. jun.; Martini, H.; Ódor, T.
1
2014
The Fermat-Torricelli problem. I: A discrete gradient-method approach. Zbl 1292.90282
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita
9
2013
On bisectors for convex distance functions. Zbl 1302.46012
He, Chan; Martini, Horst; Wu, Senlin
7
2013
Orthocentric simplices as the true generalizations of triangles. Zbl 1287.51011
Hajja, Mowaffaq; Martini, Horst
7
2013
On the rotation index of bar billiards and Poncelet’s porism. Zbl 1278.53006
Cieślak, W.; Martini, H.; Mozgawa, W.
6
2013
Intersections of balls and sets of constant width in finite-dimensional normed spaces. Zbl 1278.52002
Martini, Horst; Richter, Christian; Spirova, Margarita
6
2013
Bounded representation and radial projections of bisectors in normed spaces. Zbl 1273.46005
Horváth, Á. G.; Martini, H.
4
2013
On reduced triangles in normed planes. Zbl 1296.46011
Alonso, Javier; Martini, Horst; Spirova, Margarita
3
2013
Cassini curves in normed planes. Zbl 1276.52008
Martini, Horst; Wu, Senlin
3
2013
Proposition 21 of Book I of Euclid’s Elements: variants, generalizations, and open questions. Zbl 1303.51010
Hajja, Mowaffaq; Martini, Horst
2
2013
Locally symmetric graphs of girth 4. Zbl 1264.05087
Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S.
2
2013
Concurrency of the altitudes of a triangle. Zbl 1291.51012
Hajja, Mowaffaq; Martini, Horst
2
2013
Discrete geometry in Minkowski spaces. Zbl 1290.52007
Alonso, Javier; Martini, Horst; Spirova, Margarita
1
2013
On universal covers in normed planes. Zbl 1266.52010
Martini, Horst; Spirova, Margarita
1
2013
On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane. Zbl 1294.52003
Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S.
1
2013
On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Zbl 1241.46006
Alonso, Javier; Martini, Horst; Wu, Senlin
119
2012
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. Zbl 1245.65022
Alonso, Javier; Martini, Horst; Spirova, Margarita
15
2012
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. Zbl 1251.65016
Alonso, Javier; Martini, Horst; Spirova, Margarita
14
2012
On Zindler curves in normed planes. Zbl 1276.52007
Martini, Horst; Wu, Senlin
8
2012
Minsum hyperspheres in normed spaces. Zbl 1250.90049
Körner, Mark-Christoph; Martini, Horst; Schöbel, Anita
4
2012
Centrally symmetric convex bodies and sections having maximal quermassintegrals. Zbl 1265.52005
Makai, E. jun.; Martini, H.
3
2012
On unit balls and isoperimetrices in normed spaces. Zbl 1259.46009
Martini, Horst; Mustafaev, Zokhrab
3
2012
On the self-perimeter of pentagonal gauges. Zbl 1260.46011
Martini, Horst; Shcherba, Anatoly
1
2012
Reduced convex bodies in Euclidean space – a survey. Zbl 1213.52006
Lassak, Marek; Martini, Horst
17
2011
Conics in normed planes. Zbl 1266.46011
Horváth, Ákos G.; Martini, Horst
7
2011
Starshapedness vs. convexity. Zbl 1218.52004
Hansen, Guillermo; Martini, Horst
6
2011
On orthogonal chords in normed planes. Zbl 1214.52001
Alonso, Javier; Martini, Horst; Mustafaev, Zokhrab
5
2011
An integral formula related to inner isoptics. Zbl 1252.52003
Martini, Horst; Mozgawa, Witold
4
2011
On the self-perimeter of quadrangles for gauges. Zbl 1222.52001
Martini, H.; Shcherba, A.
2
2011
Geometry where direction matters – or does it? Zbl 1233.52005
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J.
2
2011
Ball polytopes and the Vázsonyi problem. Zbl 1224.52025
Kupitz, Y. S.; Martini, H.; Perles, M. A.
17
2010
On closed starshaped sets. Zbl 1207.52006
Hansen, Guillermo; Martini, Horst
4
2010
On isoperimetric inequalities in Minkowski spaces. Zbl 1196.52007
Martini, Horst; Mustafaev, Zokhrab
3
2010
Minkowskian rhombi and squares inscribed in convex Jordan curves. Zbl 1213.52001
Martini, Horst; Wu, Senlin
3
2010
Tangent segments and orthogonality types in normed planes. Zbl 1228.51020
Martini, Horst; Wu, Senlin
3
2010
A new type of orthogonality for normed planes. Zbl 1224.46026
Martini, Horst; Spirova, Margarita
2
2010
Concurrent and parallel chords of spheres in normed linear spaces. Zbl 1240.46049
Martini, Horst; Wu, Senlin
2
2010
Golden rectangles in normed planes. Zbl 1226.46013
Martini, Horst; Spirova, Margarita
2
2010
...and 127 more Documents
all top 5

Cited by 827 Authors

117 Martini, Horst
30 Wu, Senlin
25 Balestro, Vitor
20 Hajja, Mowaffaq
20 Spirova, Margarita Georgieva
18 Swanepoel, Konrad J.
17 Tanaka, Ryotaro
15 Teixeira, Ralph Costa
14 He, Chan
14 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
13 Lassak, Marek
13 Zachos, Anastasios N.
12 Schöbel, Anita
11 Horváth, Ákos G.
11 Sain, Debmalya
10 Bezdek, Károly
10 Cheng, Raymond
10 Kupitz, Yaakov S.
10 Mozgawa, Witold
9 Alonso, Javier
9 Brandenberg, René
9 González Merino, Bernardo
9 Jahn, Thomas
9 Lángi, Zsolt
9 Soltan, Valeriu
8 Hayajneh, Mostafa
8 Maehara, Hiroshi
8 Moreno, José-Pedro
8 Nam, Nguyen Mau
8 Saito, Kichisuke
8 Schulte, Egon
7 Li, Yongjin
7 Montejano Peimbert, Luis
7 Naszódi, Márton
7 Richter, Christian
7 Rochera, David
7 Wójcik, Paweł
6 Boltyanskij, Vladimir Grigor’evich
6 Fodor, Ferenc
6 Jin, Hailin
6 Komuro, Naoto
6 Kurusa, Árpád
6 Mustafaev, Zokhrab
6 Papini, Pier Luigi
6 Plastria, Frank
6 Schneider, Rolf G.
6 Vincenzi, Giovanni
6 Zamani, Ali
6 Zong, Chuanming
5 Berele, Allan
5 Catoiu, Stefan
5 Chmieliński, Jacek
5 Cieślak, Waldemar
5 Craizer, Marcos
5 Kupavskii, Andrey
5 Moslehian, Mohammad Sal
5 Nikonorov, Yurii Gennadyevich
5 Paul, Kallol
5 Perles, Micha A.
5 Polyanskiĭ, Aleksandr Andreevich
5 Ross, William T.
5 Xi, Lifeng
4 Alimov, Alexey R.
4 Arambašić, Ljiljana
4 Bisztriczky, Tibor
4 Bottazzi, Tamara
4 Bracho, Javier
4 Brazil, Marcus N.
4 Breen, Marilyn
4 Cabello Sánchez, Javier
4 Di Stefano, Gabriele
4 Gunawan, Hendra
4 Hammoudeh, Ismail
4 Hug, Daniel
4 Laudano, Francesco
4 Leng, Gangsong
4 Mizuguchi, Hiroyasu
4 Monson, Barry
4 Navarra, Alfredo
4 Oliveros, Deborah
4 Pach, János
4 Pushnyakov, Filipp Anatol’evich
4 Pyaderkin, M. M.
4 Ras, Charl J.
4 Saleh, Wedad
4 Skrzypiec, Magdalena
4 Thomas, Doreen Anne
4 Väisälä, Jussi
4 Vígh, Viktor
4 Weiß, Gunter
4 Wenzel, Walter
3 An, Nguyen Thai
3 Averkov, Gennadiy
3 Azhmyakov, Vadim
3 Baronti, Marco
3 Böröczky, Karoly jun.
3 Brimberg, Jack
3 Chen, Chen
3 Conde, Cristian M.
3 Edmonds, Allan L.
...and 727 more Authors
all top 5

Cited in 217 Serials

81 Beiträge zur Algebra und Geometrie
45 Aequationes Mathematicae
37 Journal of Mathematical Analysis and Applications
33 Discrete & Computational Geometry
32 Journal of Geometry
25 Results in Mathematics
22 Journal of Optimization Theory and Applications
16 Mathematical Notes
16 Linear Algebra and its Applications
14 Mathematika
13 Journal of Convex Analysis
12 Advances in Mathematics
11 Discrete Mathematics
11 Periodica Mathematica Hungarica
11 Monatshefte für Mathematik
10 Computational Geometry
10 Advances in Geometry
9 Israel Journal of Mathematics
9 Transactions of the American Mathematical Society
8 Archiv der Mathematik
8 Journal of Mathematical Sciences (New York)
8 Mediterranean Journal of Mathematics
7 Geometriae Dedicata
7 Proceedings of the American Mathematical Society
7 European Journal of Operational Research
7 Expositiones Mathematicae
7 Mathematical Inequalities & Applications
7 Annals of Functional Analysis
6 Acta Mathematica Hungarica
6 Fractals
6 Doklady Mathematics
5 Discrete Applied Mathematics
5 Linear and Multilinear Algebra
5 The Mathematical Intelligencer
5 Computer Aided Geometric Design
5 Journal of Inequalities and Applications
4 American Mathematical Monthly
4 Bulletin of the Australian Mathematical Society
4 Mathematische Semesterberichte
4 Problems of Information Transmission
4 Rocky Mountain Journal of Mathematics
4 Journal of Combinatorial Theory. Series A
4 Topology and its Applications
4 European Journal of Combinatorics
4 Journal for Geometry and Graphics
4 Discrete Optimization
4 Journal of Function Spaces
3 Journal of Geometry and Physics
3 Journal of Functional Analysis
3 Pacific Journal of Mathematics
3 Acta Applicandae Mathematicae
3 The Journal of Geometric Analysis
3 Journal of Global Optimization
3 Elemente der Mathematik
3 Calculus of Variations and Partial Differential Equations
3 Journal of Combinatorial Optimization
3 Acta Mathematica Sinica. English Series
3 Journal of Mathematical Inequalities
3 Banach Journal of Mathematical Analysis
3 Ars Mathematica Contemporanea
3 The Art of Discrete and Applied Mathematics
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Mathematical Education in Science and Technology
2 Inverse Problems
2 Information Processing Letters
2 Journal of the Franklin Institute
2 Studia Mathematica
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Canadian Mathematical Bulletin
2 Journal of Approximation Theory
2 Kyungpook Mathematical Journal
2 Networks
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Theoretical Computer Science
2 Advances in Applied Mathematics
2 Optimization
2 Computers & Operations Research
2 Applied Mathematics Letters
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 Distributed Computing
2 Mathematical Programming. Series A. Series B
2 Top
2 Optimization Methods & Software
2 4OR
2 Journal of the Indonesian Mathematical Society
2 Journal of Geometry and Symmetry in Physics
2 The Australian Journal of Mathematical Analysis and Applications
2 Contributions to Discrete Mathematics
2 Optimization Letters
2 Operators and Matrices
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Analysis and Mathematical Physics
2 Journal of Mathematical Research with Applications
2 Concrete Operators
1 Advances in Applied Probability
...and 117 more Serials
all top 5

Cited in 48 Fields

453 Convex and discrete geometry (52-XX)
211 Functional analysis (46-XX)
196 Geometry (51-XX)
76 Differential geometry (53-XX)
70 Operations research, mathematical programming (90-XX)
68 Combinatorics (05-XX)
40 Operator theory (47-XX)
31 Computer science (68-XX)
25 Numerical analysis (65-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
20 Real functions (26-XX)
16 Probability theory and stochastic processes (60-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 General topology (54-XX)
12 Algebraic geometry (14-XX)
12 Functions of a complex variable (30-XX)
11 Difference and functional equations (39-XX)
11 Approximations and expansions (41-XX)
10 Measure and integration (28-XX)
10 Statistics (62-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Group theory and generalizations (20-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Systems theory; control (93-XX)
7 Mathematics education (97-XX)
6 History and biography (01-XX)
6 Number theory (11-XX)
6 Partial differential equations (35-XX)
5 Manifolds and cell complexes (57-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Ordinary differential equations (34-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Mechanics of deformable solids (74-XX)
4 Information and communication theory, circuits (94-XX)
3 Algebraic topology (55-XX)
3 Mechanics of particles and systems (70-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Field theory and polynomials (12-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 Fluid mechanics (76-XX)
1 Commutative algebra (13-XX)
1 Special functions (33-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year