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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: 281 Publications since 1984, including 4 Books
2 Contributions as Editor
Reviewing Activity: 483 Reviews
Biographic References: 1 Publication
Co-Authors: 69 Co-Authors with 249 Joint Publications
894 Co-Co-Authors
all top 5

Serials

23 Beiträge zur Algebra und Geometrie
14 Results in Mathematics
13 Aequationes Mathematicae
9 Periodica Mathematica Hungarica
9 Geometriae Dedicata
8 Journal of Geometry
8 Studia Scientiarum Mathematicarum Hungarica
8 Journal of Convex Analysis
7 Discrete Mathematics
6 Colloquium Mathematicum
6 Acta Mathematica Hungarica
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 Journal of Optimization Theory and Applications
4 Elemente der Mathematik
4 Expositiones Mathematicae
4 Mathematical Inequalities & Applications
3 American Mathematical Monthly
3 Discrete Applied Mathematics
3 Journal of Graph Theory
3 Mathematika
3 Publicationes Mathematicae
3 European Journal of Combinatorics
3 Note di Matematica
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
2 Journal of Mathematical Analysis and Applications
2 Mathematische Semesterberichte
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 Graphs and Combinatorics
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 Annals of Functional Analysis
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 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 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

206 Publications have been cited 1,413 times in 669 Documents Cited by Year
The geometry of Minkowski spaces – a survey. I. Zbl 0984.52004
Martini, Horst; Swanepoel, Konrad J.; Weiß, Gunter
99
2001
On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Zbl 1241.46006
Alonso, Javier; Martini, Horst; Wu, Senlin
90
2012
Excursions into combinatorial geometry. Zbl 0877.52001
Boltyanski, V.; Martini, H.; Soltan, Petru S.
87
1997
The geometry of Minkowski spaces – a survey. II. Zbl 1080.52005
Martini, H.; Swanepoel, K. J.
74
2004
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
47
1999
Antinorms and Radon curves. Zbl 1108.52005
Martini, Horst; Swanepoel, Konrad J.
43
2006
Combinatorial problems on the illumination of convex bodies. Zbl 0937.52006
Martini, Horst; Soltan, Valeriu
40
1999
Geometric aspects of the generalized Fermat-Torricelli problem. Zbl 0911.51021
Kupitz, Y. S.; Martini, H.
37
1997
Special convex bodies. Zbl 0794.52002
Heil, E.; Martini, H.
36
1993
The Fermat–Torricelli problem in normed planes and spaces. Zbl 1047.90032
Martini, H.; Swanepoel, K. J.; Weiss, G.
26
2002
Bodies of constant width. An introduction to convex geometry with applications. Zbl 1468.52001
Martini, Horst; Montejano, Luis; Oliveros, Déborah
22
2019
Angles in normed spaces. Zbl 1365.52006
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph
15
2017
Orthocentric simplices and their centers. Zbl 1084.51008
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
14
2005
Hyperplane approximation and related topics. Zbl 0809.52013
Korneenko, Nikolai M.; Martini, Horst
14
1993
Ball polytopes and the Vázsonyi problem. Zbl 1224.52025
Kupitz, Y. S.; Martini, H.; Perles, M. A.
14
2010
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. Zbl 1245.65022
Alonso, Javier; Martini, Horst; Spirova, Margarita
13
2012
Antipodality properties of finite sets in Euclidean space. Zbl 1066.52010
Martini, H.; Soltan, V.
13
2005
On the theorem of Napoleon and related topics. Zbl 0864.51009
Martini, Horst
13
1996
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. Zbl 1251.65016
Alonso, Javier; Martini, Horst; Spirova, Margarita
12
2012
Reduced convex bodies in Euclidean space – a survey. Zbl 1213.52006
Lassak, Marek; Martini, Horst
12
2011
The Feuerbach circle and orthocentricity in normed places. Zbl 1144.52001
Martini, Horst; Spirova, Margarita
12
2007
Coincidences of simplex centers and related facial structures. Zbl 1093.51014
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
11
2005
The cross-section body, plane sections of convex bodies and approximation of convex bodies. I. Zbl 0865.52005
Makai, E. jun.; Martini, H.
11
1996
Reduced bodies in Minkowski space. Zbl 1084.52004
Lassak, M.; Martini, H.
11
2005
Maximal sections and centrally symmetric bodies. Zbl 1012.52008
Makai, E. jun.; Martini, H.; Ódor, T.
10
2000
Median hyperplanes in normed spaces – a survey. Zbl 0921.90109
Martini, Horst; Schöbel, Anita
10
1998
The Fermat-Torricelli point and isosceles tetrahedra. Zbl 0795.51006
Kupitz, Yaakov S.; Martini, Horst
10
1994
Geometric properties of a sine function extendable to arbitrary normed planes. Zbl 1367.52005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
10
2017
Reduced convex bodies in finite dimensional normed spaces: a survey. Zbl 1310.52004
Lassak, Marek; Martini, Horst
9
2014
Median and center hyperplanes in Minkowski spaces – a unified approach. Zbl 1010.51002
Martini, H.; Schöbel, A.
9
2001
Napoleon’s theorem with weights in \(n\)-space. Zbl 0920.51008
Martini, H.; Weißbach, B.
8
1999
Illumination and visibility problems in terms of closure operators. Zbl 1074.52001
Martini, Horst; Wenzel, Walter
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 reduced polytopes and antipodality. Zbl 1158.52012
Averkov, Gennadiy; Martini, Horst
8
2008
Geometric constants for quantifying the difference between orthogonality types. Zbl 1365.46012
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
8
2016
New extensions of Napoleon’s theorem to higher dimensions. Zbl 1142.51015
Hajja, Mowaffaq; Martini, Horst; Spirova, Margarita
8
2008
Classical curve theory in normed planes. Zbl 1364.52005
Martini, Horst; Wu, Senlin
8
2014
The Fermat-Torricelli problem. I: A discrete gradient-method approach. Zbl 1292.90282
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita
7
2013
Orthocentric simplices as the true generalizations of triangles. Zbl 1287.51011
Hajja, Mowaffaq; Martini, Horst
7
2013
Approximating finite weighted point sets by hyperplanes. Zbl 0703.68097
Korneenko, N. M.; Martini, H.
7
1990
Orthocentric simplices and biregularity. Zbl 1146.51016
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
7
2008
Radial projections of bisectors in Minkowski spaces. Zbl 1158.52007
Martini, Horst; Wu, Senlin
7
2008
A hierarchical classification of Euclidean polytopes with regularity properties. Zbl 0812.51015
Martini, Horst
7
1994
On maps preserving isosceles orthogonality in normed linear spaces. Zbl 1216.46008
Martini, Horst; Wu, Senlin
7
2009
A new construction of Radon curves and related topics. Zbl 1372.52004
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
7
2016
Minsum location extended to gauges and to convex sets. Zbl 1329.52010
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian
7
2015
Surface immersions in normed spaces from the affine point of view. Zbl 1427.53010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
6
2019
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
Recent results in elementary geometry. II. Zbl 0852.51013
Martini, Horst
6
1995
Shadow-boundaries of convex bodies. Zbl 0863.52003
Martini, Horst
6
1996
Generalized convexity notions and combinatorial geometry. Zbl 1051.52004
Martini, H.; Swanepoel, K. J.
6
2003
Non-planar simplices are not reduced. Zbl 1048.52002
Martini, H.; Swanepoel, K. J.
6
2004
Equiframed curves – a generalization of Radon curves. Zbl 1071.52002
Martini, Horst; Swanepoel, Konrad J.
6
2004
Symmetrization of closure operators and visibility. Zbl 1099.06003
Martini, Horst; Wenzel, Walter
6
2005
Low-degree minimal spanning trees in normed spaces. Zbl 1105.46010
Martini, Horst; Swanepoel, Konrad J.
6
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.
6
1991
Clifford’s chain of theorems in strictly convex Minkowski planes. Zbl 1174.51005
Martini, Horst; Spirova, Margarita
6
2008
Convex polytopes whose projection bodies and difference sets are polars. Zbl 0679.52002
Martini, Horst
6
1991
Reflections in strictly convex Minkowski planes. Zbl 1214.52002
Martini, Horst; Spirova, Margarita
6
2009
Cross-sectional measures. Zbl 0820.52003
Martini, H.
6
1994
On the isoperimetric inequalities for Reuleaux polygons. Zbl 0956.51011
Kupitz, Yaakov S.; Martini, Horst
6
2000
On the rotation index of bar billiards and Poncelet’s porism. Zbl 1278.53006
Cieślak, W.; Martini, H.; Mozgawa, W.
6
2013
Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006
Boltyanski, Vladimir; Martini, Horst
6
2006
Geometric algebra of strictly convex Minkowski planes. Zbl 1320.46015
Martini, Horst; Spirova, Margarita; Strambach, Karl
6
2014
Chebyshev sets and ball operators. Zbl 1303.41014
Martín, Pedro; Martini, Horst; Spirova, Margarita
5
2014
Illuminating and covering convex bodies. Zbl 1303.52009
Martini, Horst; Richter, Christian; Spirova, Margarita
5
2014
Finite sets in \(\mathbb R^d\) with many diameters – a survey. Zbl 1141.51300
Kupitz, Y. S.; Martini, H.; Perles, M. A.
5
2005
A characterization of convex sets via visibility. Zbl 1013.52005
Martini, H.; Wenzel, W.
5
2002
An analogue of the Krein-Milman theorem for star-shaped sets. Zbl 1043.52006
Martini, Horst; Wenzel, Walter
5
2003
Star-shaped sets in normed spaces. Zbl 0847.52003
Boltyanski, V.; Martini, H.; Soltan, P. S.
5
1996
A linear-time construction of Reuleaux polygons. Zbl 0876.52002
Kupitz, Yaakov; Martini, Horst; Wegner, Bernd
5
1996
On Zindler curves in normed planes. Zbl 1276.52007
Martini, Horst; Wu, Senlin
5
2012
Conics in normed planes. Zbl 1266.46011
Horváth, Ákos G.; Martini, Horst
5
2011
Two characterizations of smooth norms. Zbl 0952.52006
Martini, H.; Schöbel, A.
5
1999
Zur besten Beleuchtung konvexer Polyeder. Zbl 0543.52014
Martini, Horst; Weißbach, Bernulf
5
1984
On the circular hull property in normed planes. Zbl 1212.46032
Martini, H.; Spirova, M.
5
2009
Starshapedness vs. convexity. Zbl 1218.52004
Hansen, Guillermo; Martini, Horst
5
2011
Involutes of polygons of constant width in Minkowski planes. Zbl 1354.52003
Craizer, Marcos; Martini, Horst
5
2016
Intersections of balls and sets of constant width in finite-dimensional normed spaces. Zbl 1278.52002
Martini, Horst; Richter, Christian; Spirova, Margarita
5
2013
Some applications of cross-section measures in Minkowski spaces. Zbl 1121.52022
Martini, H.; Mustafaev, Z.
5
2006
A new construction of curves of constant width. Zbl 1172.51309
Martini, Horst; Mustafaev, Zokhrab
5
2008
Bi- and multifocal curves and surfaces for gauges. Zbl 1348.51006
Jahn, Thomas; Martini, Horst; Richter, Christian
5
2016
Ball convex bodies in Minkowski spaces. Zbl 1378.46015
Jahn, Thomas; Martini, Horst; Richter, Christian
5
2017
On Lexell’s theorem. Zbl 1391.51017
Maehara, Hiroshi; Martini, Horst
4
2017
On bodies associated with a given convex body. Zbl 0884.52005
Makai, Endre jun.; Martini, Horst
4
1996
Minimum convex partition of polygonal domains by guillotine cuts. Zbl 0901.52014
Martini, H.; Soltan, V.
4
1998
Tetrahedra are not reduced. Zbl 1018.52006
Martini, H.; Wenzel, W.
4
2002
Combinatorial geometry of belt bodies. Zbl 0853.52004
Boltyanski, V.; Martini, H.
4
1995
A new characterization of convex plates of constant width. Zbl 0688.52002
Makai, Endre jun.; Martini, Horst
4
1990
The cross-section body, plane sections of convex bodies and approximation of convex bodies. II. Zbl 0914.52002
Makai, E. jun.; Martini, H.
4
1998
Geometric dilation of closed curves in normed planes. Zbl 1161.65014
Martini, Horst; Wu, Senlin
4
2009
Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen. Zbl 0544.52005
Martini, Horst
4
1984
Carathéodory’s theorem and \(H\)-convexity. Zbl 0976.52007
Boltyanski, V.; Martini, H.
4
2001
Cassini curves in light field theory. (Cassini-Kurven in der Lichtfeldtheorie.) Zbl 0762.51011
Martini, Horst; Schiel, Uwe
4
1992
Illumination of direct vector sums of convex bodies. Zbl 1164.52004
Boltyanski, Vladimir; Martini, Horst
4
2007
Some results and problems around zonotopes. Zbl 0634.52007
Martini, H.
4
1987
Some characterizing properties of the simplex. Zbl 0674.52005
Martini, Horst
4
1989
A new view on some characterizations of simplices. Zbl 0679.52003
Martini, Horst
4
1990
Regular polytopes and generalizations. (Reguläre Polytope und Verallgemeinerungen.) Zbl 0810.52011
Martini, Horst
4
1994
On closed starshaped sets. Zbl 1207.52006
Hansen, Guillermo; Martini, Horst
4
2010
Duality of gauges and symplectic forms in vector spaces. Zbl 1482.52010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
1
2021
On curvature of surfaces immersed in normed spaces. Zbl 1452.53005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
1
2020
Starshaped sets. Zbl 1454.52001
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M.
1
2020
Curvature types of planar curves for gauges. Zbl 1452.46013
Balestro, Vitor; Martini, Horst; Sakaki, Makoto
1
2020
Bodies of constant width. An introduction to convex geometry with applications. Zbl 1468.52001
Martini, Horst; Montejano, Luis; Oliveros, Déborah
22
2019
Surface immersions in normed spaces from the affine point of view. Zbl 1427.53010
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
6
2019
Concepts of curvatures in normed planes. Zbl 1432.52001
Balestro, Vitor; Martini, Horst; Shonoda, Emad
4
2019
Is a complete, reduced set necessarily of constant width? Zbl 1428.52004
Brandenberg, René; González Merino, Bernardo; Jahn, Thomas; Martini, Horst
3
2019
The Rosenthal-Szasz inequality for normed planes. Zbl 1406.52004
Balestro, Vitor; Martini, Horst
2
2019
Bipartite sets of spheres and Casey-type theorems. Zbl 1409.51016
Maehara, Hiroshi; Martini, Horst
1
2019
An analogue of Sylvester’s four-point problem on the sphere. Zbl 1449.60013
Maehara, H.; Martini, H.
2
2018
On Legendre curves in normed planes. Zbl 1408.46017
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
2
2018
On the Erdős-Mordell inequality for normed planes and spaces. Zbl 1413.46018
Ghandehari, Mostafa; Martini, Horst
1
2018
A synthetic way to geometrize the method of coordinates. Zbl 1404.51015
Anatriello, Giuseppina; Martini, Horst; Vincenzi, Giovanni
1
2018
Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces. Zbl 1415.51030
Leopold, Undine; Martini, Horst
1
2018
Angles in normed spaces. Zbl 1365.52006
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph
15
2017
Geometric properties of a sine function extendable to arbitrary normed planes. Zbl 1367.52005
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
10
2017
Ball convex bodies in Minkowski spaces. Zbl 1378.46015
Jahn, Thomas; Martini, Horst; Richter, Christian
5
2017
On Lexell’s theorem. Zbl 1391.51017
Maehara, Hiroshi; Martini, Horst
4
2017
Angle measures, general rotations, and roulettes in normed planes. Zbl 1388.46016
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst
3
2017
Outer normal transforms of convex polytopes. Zbl 1378.52012
Maehara, Hiroshi; Martini, Horst
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
Geometric probability on the sphere. Zbl 1401.60019
Maehara, Hiroshi; Martini, Horst
1
2017
New inequalities for products of cross-section measures. Zbl 1377.52006
Martini, Horst; Mustafaev, Zokhrab
1
2017
New moduli for Banach spaces. Zbl 1379.46018
Ivanov, G.; Martini, H.
1
2017
Geometric constants for quantifying the difference between orthogonality types. Zbl 1365.46012
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
8
2016
A new construction of Radon curves and related topics. Zbl 1372.52004
Balestro, Vitor; Martini, Horst; Teixeira, Ralph
7
2016
Involutes of polygons of constant width in Minkowski planes. Zbl 1354.52003
Craizer, Marcos; Martini, Horst
5
2016
Bi- and multifocal curves and surfaces for gauges. Zbl 1348.51006
Jahn, Thomas; Martini, Horst; Richter, Christian
5
2016
Polygons derived from polygons via iterated constructions. Zbl 1341.51016
Donisi, Serena; Martini, Horst; Vincenzi, Giovanni; Vitale, Gaetano
4
2016
More characterizations of certain special families of simplices. Zbl 1335.52024
Hajja, M.; Hayajneh, M.; Martini, H.
4
2016
On covering functionals of convex bodies. Zbl 1334.52007
He, Chan; Martini, Horst; Wu, Senlin
3
2016
Minsum location extended to gauges and to convex sets. Zbl 1329.52010
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian
7
2015
Orthogonalities, transitivity of norms and characterizations of Hilbert spaces. Zbl 1322.46009
Martini, Horst; Wu, Senlin
4
2015
Complete sets need not be reduced in Minkowski spaces. Zbl 1347.52008
Martini, Horst; Wu, Senlin
3
2015
Algorithms for ball hulls and ball intersections in normed planes. Zbl 1408.52025
Martín, Pedro; Martini, Horst
2
2015
Reduced convex bodies in finite dimensional normed spaces: a survey. Zbl 1310.52004
Lassak, Marek; Martini, Horst
9
2014
Classical curve theory in normed planes. Zbl 1364.52005
Martini, Horst; Wu, Senlin
8
2014
Geometric algebra of strictly convex Minkowski planes. Zbl 1320.46015
Martini, Horst; Spirova, Margarita; Strambach, Karl
6
2014
Chebyshev sets and ball operators. Zbl 1303.41014
Martín, Pedro; Martini, Horst; Spirova, Margarita
5
2014
Illuminating and covering convex bodies. Zbl 1303.52009
Martini, Horst; Richter, Christian; Spirova, Margarita
5
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
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
Characterizations of \(l_\infty^n\) and \(l_1^n\), and their stabilities. Zbl 1294.52006
Martini, Horst; Wu, Senlin
1
2014
The Fermat-Torricelli problem. I: A discrete gradient-method approach. Zbl 1292.90282
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita
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
5
2013
On bisectors for convex distance functions. Zbl 1302.46012
He, Chan; Martini, Horst; Wu, Senlin
3
2013
Bounded representation and radial projections of bisectors in normed spaces. Zbl 1273.46005
Horváth, Á. G.; Martini, H.
3
2013
On reduced triangles in normed planes. Zbl 1296.46011
Alonso, Javier; Martini, Horst; Spirova, Margarita
2
2013
Proposition 21 of Book I of Euclid’s Elements: variants, generalizations, and open questions. Zbl 1303.51010
Hajja, Mowaffaq; Martini, Horst
2
2013
Cassini curves in normed planes. Zbl 1276.52008
Martini, Horst; Wu, Senlin
2
2013
Concurrency of the altitudes of a triangle. Zbl 1291.51012
Hajja, Mowaffaq; Martini, Horst
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
Locally symmetric graphs of girth 4. Zbl 1264.05087
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
90
2012
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. I. Zbl 1245.65022
Alonso, Javier; Martini, Horst; Spirova, Margarita
13
2012
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. Zbl 1251.65016
Alonso, Javier; Martini, Horst; Spirova, Margarita
12
2012
On Zindler curves in normed planes. Zbl 1276.52007
Martini, Horst; Wu, Senlin
5
2012
Centrally symmetric convex bodies and sections having maximal quermassintegrals. Zbl 1265.52005
Makai, E. jun.; Martini, H.
2
2012
On unit balls and isoperimetrices in normed spaces. Zbl 1259.46009
Martini, Horst; Mustafaev, Zokhrab
2
2012
Minsum hyperspheres in normed spaces. Zbl 1250.90049
Körner, Mark-Christoph; Martini, Horst; Schöbel, Anita
2
2012
Reduced convex bodies in Euclidean space – a survey. Zbl 1213.52006
Lassak, Marek; Martini, Horst
12
2011
Conics in normed planes. Zbl 1266.46011
Horváth, Ákos G.; Martini, Horst
5
2011
Starshapedness vs. convexity. Zbl 1218.52004
Hansen, Guillermo; Martini, Horst
5
2011
On orthogonal chords in normed planes. Zbl 1214.52001
Alonso, Javier; Martini, Horst; Mustafaev, Zokhrab
4
2011
An integral formula related to inner isoptics. Zbl 1252.52003
Martini, Horst; Mozgawa, Witold
1
2011
Geometry where direction matters – or does it? Zbl 1233.52005
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J.
1
2011
On the self-perimeter of quadrangles for gauges. Zbl 1222.52001
Martini, H.; Shcherba, A.
1
2011
Ball polytopes and the Vázsonyi problem. Zbl 1224.52025
Kupitz, Y. S.; Martini, H.; Perles, M. A.
14
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
Tangent segments and orthogonality types in normed planes. Zbl 1228.51020
Martini, Horst; Wu, Senlin
1
2010
On angular bisectors in normed linear spaces. Zbl 1239.46019
Martini, Horst; Wu, Senlin
1
2010
A new type of orthogonality for normed planes. Zbl 1224.46026
Martini, Horst; Spirova, Margarita
1
2010
Concurrent and parallel chords of spheres in normed linear spaces. Zbl 1240.46049
Martini, Horst; Wu, Senlin
1
2010
Minkowskian rhombi and squares inscribed in convex Jordan curves. Zbl 1213.52001
Martini, Horst; Wu, Senlin
1
2010
Golden rectangles in normed planes. Zbl 1226.46013
Martini, Horst; Spirova, Margarita
1
2010
On maps preserving isosceles orthogonality in normed linear spaces. Zbl 1216.46008
Martini, Horst; Wu, Senlin
7
2009
Reflections in strictly convex Minkowski planes. Zbl 1214.52002
Martini, Horst; Spirova, Margarita
6
2009
On the circular hull property in normed planes. Zbl 1212.46032
Martini, H.; Spirova, M.
5
2009
Geometric dilation of closed curves in normed planes. Zbl 1161.65014
Martini, Horst; Wu, Senlin
4
2009
On orthocentric systems in strictly convex normed planes. Zbl 1196.52003
Martini, Horst; Wu, Senlin
4
2009
A Jordan-Brouwer separation theorem for polyhedral pseudomanifolds. Zbl 1176.52005
Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S.
3
2009
Characterizations of central symmetry for convex bodies in Minkowski space. Zbl 1224.52007
Averkov, Gennadiy; Makai, Endre jun.; Martini, Horst
3
2009
Covering discs in Minkowski planes. Zbl 1184.52019
Martini, Horst; Spirova, Margarita
3
2009
On regular 4-coverings and their application for lattice coverings in normed planes. Zbl 1186.52007
Martini, Horst; Spirova, Margarita
3
2009
Minimum chords in Minkowski planes. Zbl 1181.46006
Martini, Horst; Wu, Senlin
2
2009
Halving closed curves in normed planes and related inequalities. Zbl 1189.52002
He, Chan; Martini, Horst; Wu, Senlin
2
2009
On reduced polytopes and antipodality. Zbl 1158.52012
Averkov, Gennadiy; Martini, Horst
8
2008
New extensions of Napoleon’s theorem to higher dimensions. Zbl 1142.51015
Hajja, Mowaffaq; Martini, Horst; Spirova, Margarita
8
2008
Orthocentric simplices and biregularity. Zbl 1146.51016
Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst
7
2008
Radial projections of bisectors in Minkowski spaces. Zbl 1158.52007
Martini, Horst; Wu, Senlin
7
2008
Clifford’s chain of theorems in strictly convex Minkowski planes. Zbl 1174.51005
Martini, Horst; Spirova, Margarita
6
2008
A new construction of curves of constant width. Zbl 1172.51309
Martini, Horst; Mustafaev, Zokhrab
5
2008
...and 106 more Documents
all top 5

Cited by 654 Authors

107 Martini, Horst
24 Balestro, Vitor
20 Wu, Senlin
19 Spirova, Margarita Georgieva
18 Hajja, Mowaffaq
18 Swanepoel, Konrad J.
15 Teixeira, Ralph Costa
14 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
13 Tanaka, Ryotaro
12 Zachos, Anastasios N.
11 Horváth, Ákos G.
11 Schöbel, Anita
10 Lassak, Marek
9 Jahn, Thomas
9 Kupitz, Yaakov S.
9 Lángi, Zsolt
8 Bezdek, Károly
8 Cheng, Raymond
8 Hayajneh, Mostafa
8 He, Chan
8 Merino, Bernardo González
8 Moreno, José-Pedro
8 Sain, Debmalya
8 Saito, Kichisuke
7 Alonso, Javier
7 Brandenberg, René
7 Maehara, Hiroshi
7 Mozgawa, Witold
7 Nam, Nguyen Mau
7 Naszódi, Márton
7 Richter, Christian
7 Soltan, Valeriu
6 Boltyanskij, Vladimir Grigor’evich
6 Komuro, Naoto
6 Kurusa, Árpád
6 Schulte, Egon
5 Fodor, Ferenc
5 Jin, Hailin
5 Plastria, Frank
5 Polyanskiĭ, Aleksandr Andreevich
5 Ross, William T.
5 Schneider, Rolf G.
5 Vincenzi, Giovanni
5 Wójcik, Paweł
5 Zamani, Ali
5 Zong, Chuanming
4 Brazil, Marcus N.
4 Breen, Marilyn
4 Cabello Sánchez, Javier
4 Cieślak, Waldemar
4 Craizer, Marcos
4 Di Stefano, Gabriele
4 Hammoudeh, Ismail
4 Kupavskii, Andrey
4 Moslehian, Mohammad Sal
4 Mustafaev, Zokhrab
4 Navarra, Alfredo
4 Pach, János
4 Papini, Pier Luigi
4 Paul, Kallol
4 Perles, Micha A.
4 Pushnyakov, Filipp Anatol’evich
4 Pyaderkin, M. M.
4 Ras, Charl J.
4 Saleh, Wedad
4 Thomas, Doreen Anne
4 Väisälä, Jussi
4 Weiß, Gunter
4 Wenzel, Walter
3 An, Nguyen Thai
3 Arambašić, Ljiljana
3 Averkov, Gennadiy
3 Bottazzi, Tamara
3 Brimberg, Jack
3 Chmieliński, Jacek
3 Edmonds, Allan L.
3 Filliman, Paul
3 Gunawan, Hendra
3 Hug, Daniel
3 Kiliçman, Adem
3 Körner, Mark-Christoph
3 Kozma, József
3 Laudano, Francesco
3 Leng, Gangsong
3 Makai, Endre jun.
3 Mashreghi, Javad
3 Mizuguchi, Hiroyasu
3 Monson, Barry
3 Montejano Peimbert, Luis
3 Nicollier, Grégoire
3 Nur, Muhammad
3 Rajić, Rajna
3 Röschel, Otto
3 Ryabogin, Dmitry
3 Shonoda, Emad N.
3 Thäle, Christoph
3 Tóth, Csaba D.
3 Vartziotis, Dimitris
3 Vígh, Viktor
3 Wipper, Joachim
...and 554 more Authors
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Cited in 173 Serials

70 Beiträge zur Algebra und Geometrie
34 Aequationes Mathematicae
30 Journal of Mathematical Analysis and Applications
29 Journal of Geometry
29 Discrete & Computational Geometry
21 Results in Mathematics
20 Journal of Optimization Theory and Applications
16 Linear Algebra and its Applications
15 Mathematical Notes
13 Mathematika
12 Advances in Mathematics
11 Discrete Mathematics
11 Periodica Mathematica Hungarica
11 Journal of Convex Analysis
9 Israel Journal of Mathematics
9 Monatshefte für Mathematik
9 Transactions of the American Mathematical Society
9 Computational Geometry
9 Advances in Geometry
8 Mediterranean Journal of Mathematics
7 Geometriae Dedicata
7 Proceedings of the American Mathematical Society
7 European Journal of Operational Research
7 Expositiones Mathematicae
6 Archiv der Mathematik
6 Acta Mathematica Hungarica
6 Journal of Mathematical Sciences (New York)
6 Doklady Mathematics
5 Discrete Applied Mathematics
5 Journal of Inequalities and Applications
5 Annals of Functional Analysis
4 Bulletin of the Australian Mathematical Society
4 Rocky Mountain Journal of Mathematics
4 The Mathematical Intelligencer
4 Journal of Combinatorial Theory. Series A
4 Topology and its Applications
4 European Journal of Combinatorics
4 Journal of Function Spaces
3 Mathematische Semesterberichte
3 Problems of Information Transmission
3 Journal of Functional Analysis
3 Acta Applicandae Mathematicae
3 Computer Aided Geometric Design
3 The Journal of Geometric Analysis
3 Journal of Global Optimization
3 Calculus of Variations and Partial Differential Equations
3 Journal of Combinatorial Optimization
3 Journal for Geometry and Graphics
3 Acta Mathematica Sinica. English Series
3 Discrete Optimization
3 Journal of Mathematical Inequalities
2 American Mathematical Monthly
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Mathematical Education in Science and Technology
2 Information Processing Letters
2 Linear and Multilinear Algebra
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 Networks
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Pacific Journal of Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Theoretical Computer Science
2 Computers & Operations Research
2 Applied Mathematics Letters
2 Science in China. Series A
2 Elemente der Mathematik
2 Distributed Computing
2 Fractals
2 Top
2 Mathematical Inequalities & Applications
2 4OR
2 Journal of Geometry and Symmetry in Physics
2 Optimization Letters
2 Banach Journal of Mathematical Analysis
2 Analysis and Mathematical Physics
1 Advances in Applied Probability
1 Archive for History of Exact Sciences
1 Inverse Problems
1 Journal of the Franklin Institute
1 The Mathematical Gazette
1 Moscow University Mathematics Bulletin
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Journal of Geometry and Physics
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Automatica
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Economic Theory
1 Journal of Graph Theory
1 Kybernetika
...and 73 more Serials
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Cited in 46 Fields

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

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