Eine Erweiterung des Blichfeldtschen Satzes mit einer Anwendung auf inhomogene Linearformen.
Monatsh.Math. 71 (1967) 143-147
MR 35 1556
Über das Produkt inhomogener Linearformen
Herrn Prof.E.Hlawka zum 50.Geburtstag gewidmet
Acta Arith. 13 (1967) 9-27
Zbl 153 71
MR 36 3729
Zur Gitterüberdeckung des Rn durch Sternkörper
S.-ber.Österr.Akad.Wiss.Math.-natwiss.Kl.(2) 176 (1967) 1-7
Zbl 164
MR 38 720
Über einige Resultate in der Geometrie der Zahlen
Coll.Math.Soc.J.Bolyai 2 (Number Theory) (1968) 105-110
Zbl 213 60
MR 42 7599
Zur Charakterisierung konvexer Körper. Über einen Satz von Rogers und Shephard. I
Math.Ann. 181 (1969) 189-200
Zbl 159 517, 172 474
MR 39 6171
Bemerkungen zum Umkehrproblem für den Minkowskischen Linearformensatz
Ann.Univ.Sci.Budapest 13 (1970) 5-10
Zbl 213 59
MR 47 4935
Zur Charakterisierung konvexer Körper. Über einen Satz von Rogers und Shephard. II
Math.Ann. 184 (1970) 79-105
Zbl 186 557
MR 41 922
Über einen Satz von Remak in der Geometrie der Zahlen
J.reine angew.Math. 245 (1970) 107-118
Zbl 207 356
MR 42 7598
Über die Durchschnitte von translationsgleichen Polyedern
Monatsh.Math. 47 (1970) 223-238
MR 43 3909
Über eine Kennzeichnung von Simplices des Rn
Arch.Math. 22 (1971) 94-102
Zbl 215 506
MR 44 5859
Kennzeichnende Eigenschaften von euklidischen Räumen und Ellipsoiden I
J.reine angew.Math. 256(1974) 61-83
Kennzeichnende Eigenschaften von euklidischen Räumen und Ellipsoiden I
J.reine angew.Math. 270 (1974) 123-142
Zbl 291 52004
MR 54 5974
Kennzeichnende Eigenschaften von euklidischen Räumen und Ellipsoiden III
Herrn Prof.Dr.N.Hofreiter zum 70.Geburtstag gewidmet
Monatsh.Math. 78 (1974) 311-340
Zbl 291 52005
Kontrahierende Radialprojektionen in normierten Räumen
Boll.U.Mat.Ital. (4) 11 (1975) 10-21
Zbl 338 747029
MR 51 13648
Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen
Herrn Prof.Dr.Edmund Hlawka zum 60.Geburtstag gewidmet
Geom.Dedicata 4 (1975) 179-198
Zbl 318 47031
MR 57 1279
Eine Bemerkung über DOTU-Matrizen
J.Number Theory 8 (1976) 350-351
Kennzeichnungen von Ellipsoiden mit Anwendungen
(gem.m.J.Höbinger)
Jahrbuch Überblicke Mathematik 1976 (1976) 9-29
Zbl 32552006
MR 53 11494
Über ein Problem von Eggleston aus der Konvexität
S.-ber.Österr.Akad.Wiss.Abt.II 185 (1976) 31-41
Zbl 355 52002
MR 56 13113
Über den Durchschnitt einer abnehmenden Folge von Parallelepipeden
Elemente Math. 32 (1977) 13-15
Zbl 342 52012
MR 55 11150
Die meisten konvexen Körper sind glatt, aber nicht zu glatt
Math.Ann. 229 (1977) 259-266
Zbl 342 52009, 349 52004
MR 56 1202
Stability of isometries
Trans.Amer.Math.Soc. 245 (1978) 263-277
Zbl 393 41020
MR 81a 410533
Isometries of the space of convex bodies of Ed
Mathematika 25 (1978) 270-278
Zbl 403 52002
MR 80c 52005
Durchschnitte und Vereinigungen monotoner Folgen spezieller konvexer Körper
Abh.Math.Sem.Univ.Hamburg 49 (1979) 189-197
Zbl 389 52013, 404 52010
MR 81a 52004
Geometry of Numbers
In: J.Tölke, J.M.Wills, eds.: Contributions to Geometry
Proc.Geometry Symposium, Siegen, 1978) 184-223
Birkhäuser-Verlag, Basel-Boston-Stuttgart 1979
Zbl 425 10035
MR 81h 10044
Isometries of the space of compact subsets of Ed
(gem.m.G.Lettl)
Studia Sci.Math.Hungar. 14 (1979) 169-181
Zbl 484 52011
Isometrien des Konvexringes
Colloquium Math. 43 (1980) 99-109
Zbl 462 52003
MR 82i 52011
The space of compact subsets of Ed
Geom.Dedicata 9 (1980) 87-90
Zbl 432 54008
MR 81a 41053
Isometries of the space of convex bodies of Euclidean space
(gem.m.G.Lettl)
Bull.London Math.Soc. 12 (1980) 455-462
MR 81m 52010
Approximation of convex bodies by polytopes
C.R.Bulgar.Acad.Sci. 34 (1981) 621-622
Zbl 474 52007
MR 83e 52007
Beiträge zum Umkehrproblem für den Minkowskischen Linearformensatz
(gem.m.G.Ramharter)
Acta.Math.Acad.Sci.Hungar. 39 (1982) 135-141
Zbl 488 10028
Approximation of convex bodies by polytopes
(gem.m.P.Kenderov)
Rend.Circ.Mat.Palermo (2) 31 (1982) 195-225
Zbl 494 52003
MR 84d 52004
Isometries of spaces of compact or compact convex subsets of metric manifolds
(gem.m.R.Tichy)
Monatsh.Math. 93 (1982) 117-126
Zbl 449 52005
MR 84b 52008
Isometries of the space of convex bodies contained in a Euclidean ball
Israel J.Math. 42 (1982) 277-283
Zbl 502 52006
MR 85e 52020
Seven small pearls from convexity
Math.Intelligencer 5 (1983) 16-19
Zbl 517 52001
MR 85h 52001
Approximation of convex bodies
In: P.M.Gruber, J.M.Willls ed.: Convexity and its applications 131-162,
Birkhäuser-Verlag, Basel-Boston-Stuttgart 1983
MR 85d 52001
In most cases approximation is irregular
Rend.Sem.Mat.Univers.Politecn.Torino 41 (1983) 19-33
MR 86h 41036
Planar Chebyshev sets
Dedicated to Academician L.Iliev on the occasion of his 70th birthday
In: Mathematical Structures, Computational Mathematics,
Mathematical Modelling, Papers dedicated to Academican
L.Iliev's 70th Anniversary 2, 184-191, Publ.House Bulgar.Sci., Sofia 1984
Aspects of convexity and its applications
expositiones mathematicae 2 (1984) 47-83
Zbl 525 52001
MR 86f 52001
Billards
In: Potsdamer Forschungen, Geometrie und Anwendungen
(5.Tagung der Fachsektion Geometrie der MBDDR
Zechliner Hütte, 1984), B 42 (1984) 19-22
Zbl 626 52006
Results of Baire category type in convexity
In: J.Goodmann, E.Lutwak, E.Malkewitsch, J.Pollack,
eds.: Discrete geometry and convexity
Ann.New York Acad.Sci. 440 (1985) 163-169
MR 87d 52005
Typical convex bodies have surprisingly few neighours in densest lattice packings
Dedicated to my dear friend Prof.Dr.László Fejes Tóth
on the occasion of his 70th birthday
Studia Sci.Math.Hungar. 21 (1986) 165-175
Zbl 545 52008
MR 88g 1103
Characterizations of ellipsoids
(gem.m.G.Bianchi)
Arch.Math. 49 (1987) 344-350
Zbl 595 52004
MR 88j 52006
Geometry of numbers, 2nd ed. xv+732 S.
(gem.m.C.G.Lekkerkerker)
To our teacher, colleague and dear friend Edmund Hlawka
North-Holland, Amsterdam 1987
Zbl 611 10017
MR 85j 11034
Radons Beiträge zur Konvexität/Radon's contributions to convexity
In: Johann Radon, Gesammelte Abhandlungen I, 331-342
Verl.Österr.Akad.Wiss., Wien; Birkhäuser-Verlag,
Basel-Boston-Stuttgart 1987
Minimal ellipsoids and their duals
Rend.Circolo Mat.Palermo (2) 37 (1988) 35-64
MR 90C 52027
Zbl 673 52002
Volume approximation of convex bodies by inscribed polytopes
Dedicated to the memory of my dear friend
Professor Dr.Wilfried Nöbauer (1928-1988)
Math.Ann. 281 (1988) 229-245
MR 89h 52003
Zbl 628 52006
Facet-to-facet implies face-to-face
(gem.m.S.S.Ryskov)
Europ.J.Combinat. 10 (1989) 83-84
MR 89m 52023
Zbl 664 52011
Lattice points. viii+ 184S.
(gem.m.P.Erdös, J.Hammer)
To László Fejes Tóth
Longman Scientific & Technical, Harlow, Essex;
J.Wiley, New York, 1989
MR 90g 11081
Zbl 683 10025
Shadow boundaries of typical convex bodies
Measure properties
(gem.m.H.Sorger)
Mathematika 36 (1989) 142-152
Zbl 667 52002
MR 90i 52004
Dimension and structure of typical compact sets, continua and curves
Dedicated to Professor Leopold Schmetterer
on the occasion of his 70th birthday
Monatsh.Math. 108 (1989) 149-164
Zbl 666 28005
MR 90k 54052
The only convex surfaces with planar distance circles are spheres
S.-ber.Österr.Akad.Wiss.Math.-Naturwiss.Kl.Abt.II,
198 (1989) 211-225
MR 91h 52002
Zbl 741 52005
Zur Geschichte der Konvexgeometrie und der Geometrie der Zahlen
In: Festschr. zum 100.Geburtstag der DMV
(ed.: W.Scharlau), 421-455
Vieweg, Wiesbaden 1990
MR 92c 01029
Zbl 864 11004
Geodesics on typical convex surfaces
In memoriam Antonio Pignedoli (1918-1989)
Atti Acc.Naz.Lincei, Cl.Sci.Fis.Mat.Natur. 82 (1988) 651-659 (1990)
Zbl 741 52006
MR 93a 53054
Convex Billiards
Dedicated to Professor Curt Christian
on the occasion of his 70th birthday
Geom.Dedicata 33 (1990) 205-226,
Zbl 696 52001
MR 92a 58072
Generic properties of compact starshaped sets
(gem.m.T.Zamfirescu)
Proc.Amer.Math.Soc. 108 (1990) 207-214
MR 90d 52008
Zbl 683 52008
Volume approximation of convex bodies by circumscribed polytopes
In: Victor Klee Festschrift (eds.: P.Gritzmann, B.Sturmfels) 309-317, DIMACS Series 4
Amer.Math.Soc. 1991
MR 92k 52009
A typical convex surface contains no closed geodesic!
J.reine angew.Math. 416 (1991) 195-205
MR 92e 53057
The endomorphisms of the lattice of convex bodies
Abh.Math.Sem.Univ.Hamburg 61 (1991) 121-130
MR 92h 52003
Zbl 754 52006
Your picture is everywhere
In ricordo dell'insigne geometra Renato Calapso
Rend.Sem.Mat.Messina (II), 1 (1991) 123-128 (1996)
MR 95f 52003
The endomorphisms of the lattice of norms in finite dimensions
Abh.Math.Sem.Univ.Hamburg 62 (1992) 179-189
MR 93i 52005
Zbl 779 52006
History of convexity
In: Handbook of convex geometry (eds.: P.Gruber, J.Wills)
Elsevier, North-Holland, Amsterdam 1993 A, 1-15
MR 95f 01042
Zbl 791 52001
The space of convex bodies
ibid. A, 301-318
MR 95c 52005
Zbl 791 52004
Geometry of numbers
ibid. B, 739-763
Zbl 788 11022
MR 94k 11074
Baire categories in convexity
ibid. B, 1327-1346
MR 94i 52003
Zbl 791 52002
Asymptotic estimates for best and stepwise approximation of convex bodies I
Forum Math. 5 (1993) 281-297
Zbl 780 52005, 791 52007
MR 94e 52006
Asymptotic estimates for best and stepwise approximation of convex bodies II
Forum Math. 5 (1993) 521-538
Zbl 788 41020
MR 94k 52009
Aspects of approximation of convex bodies
In: Handbook of convex geometry (eds.: P.Gruber, J.Wills)
Elsevier, North-Holland, Amsterdam 1993
A, 319-345
MR 95b 52003
Characterization of spheres by stereographic projection
Arch.Math. 60 (1993) 290-295
Zbl 780 52002
MR 94d 52001
Approximation by convex polytopes
In: Polytopes: Abstract, Convex and Computational
(eds.: T.Bisztriczky et al.) 173-203
Kluwer, Dordrecht 1994
Zbl 824 52007
MR 95m 52010
How well can space be packed with smooth bodies?
Measure theoretic results
J.London Math.Soc. (2) 52 (1995) 1-14
Zbl 846 52007
MR 97c 52043
A Helmholtz-Lie type characterization of ellipsoids I
The László Fejes Tóth Festschrift
Discrete Comput. Geom. 13 (1995) 517-527
MR 95j 52006
Zbl 824 52006
Only ellipsoids have caustics
Math.Ann. 303 (1995) 185-194
MR 96j 520083
A Helmholtz-Lie type characterization of ellipsoids II
(gem.m.M.Ludwig)
Discrete Comput.Geom. 16 (1996) 55-67
Zbl 864 52005
MR 97h 52002
Expectation of random polytopes
Dedicated to my teacher and friend Professor Edmund Hlawka
on the occasion of his 80th birthday
Manuscripta Math. 91 (1996) 393-419
Zbl 873 52006
Stability of Blaschke's characterization of ellipsoids and Radon norms
Discrete Comput.Geom. 17 (1997) 411-427
Zbl 887 52002
MR 98d 52005
Asymptotic estimates for best and stepwise approximation of convex bodies III
(gem.m.S.Glasauer)
Forum Math. 9 (1997) 383-404
Zbl 889 52006
Basic problems and recent progress in convex geometry
Proc.4th Int.Conf.Geometry, Thessaloniki 1996, 22-33
Acad.Athen, Univ.Thessaloniki 1997
MR 98j 52001
Zbl 901 52004
A comparison of best and random approximation of convex bodies by polytopes
Rend.Circ.Mat.Palermo (II) Suppl.50 (1997) 189-216
Zbl 89b 52014
MR 98m 52008
Asymptotic estimates for best and stepwise approximation of convex bodies IV
Forum Math. 10 (1998) 665-686 (pdf)
Optimal arrangements of finite point sets in Riemannian 2-manifolds
Trudy Mat.Inst.Steklov 225 (1999) 160-167
Proc. Steklov Inst. Math. 225 (1999) 148-155
(pdf)
Ellipsoids are the most symmetric convex bodies
(gem.m.T.Ódor)
Arch.Math. 73 (1999) 394-400
A short analytic proof of Fejes Tóth's theorem on sums of moments
Aequationes Math. 58 (1999) 291-295
(pdf)
Professor Jarnik's contributions to the Geometry of Numbers
In: Life and work of Vojtéch Jarnìk, 17-22
Soc. Czech Math. and Phys., Prometheus, Praha 1999
In many cases optimal configurations are almost regular hexagonal
Rend. Mat. Palermo II Suppl. 65 (2000) 121-145
(pdf)
Optimal configurations of finite sets in Riemannian 2-manifolds
Geom. Dedicata 84 (2001) 271-320
(pdf)
Error of asymptotic formulae for volume approximation of convex bodies in E3
Trudy Mat. Steklov. 239 (2002) 106-117
Proc. Steklov. Inst. Math. 239 (2002) 96-107
(pdf)
Error of asymptotic formulae for volume approximation of convex bodies in Ed
Monatsh. Math. 135 (2002) 279-304
(pdf)
Optimale Quantisierung
Math. Semesterber. 49 (2003) 227-251
(ps)
Optimum quantization and its applications
Adv. Math. 186 (2004) 456-497
(pdf)
An arithmetic proof of John's ellipsoid theorem
with F. Schuster
Arch. Math. (Basel) 85 (2005) 82-88
(pdf)
Lattice points in large Borel sets and successive minima
with I. Aliev
Discrete Comput. Geom. 35 (2006) 429-435
(pdf)
Best simultaneous Diophantine Approximation under a constraint on the denominator
with I. Aliev Contrib. Discr. Math. (electronic) 1 (2006) 29-46
(pdf)
An optimal lower bound for the Frobenius problem
with I. Aliev
J. Number Theory 123 (2007) 71-79
Convex and Discrete Geometry
Grundlehren Math. Wiss. 336
Springer, Heidelberg 2007
Application of an idea of Voronoi to John type problems
Adv. Math. 218 (2008) 309-351
Geometry of Numbers, Russ. Übers.
(gem.m.C.G.Lekkerkerker)
Nauka, Moskau 2008
Geometry of the cone of positive quadratic forms
Forum Math. 21 (2009) 147-166
A note on semigroups, groups and geometric lattices
(with P.Flor)
Arch.Math.(Basel), 93 (2009) 253-258
Voronoi type criteria for lattice coverings with balls
Acta Arith. 149 (2011) 371-381
John and Loewner ellipsoids
Discr. Comput. Geom. 46 (2011) 776-788
Uniqueness of lattice packings and coverings of extreme density
Adv. Geom. 11 (2011) 691-710
Lattice packing and covering of convex bodies
Trudy Mat. Sbornik, Proc. Steklov Inst. Math. 275 (2011) 229-238
Application of an idea of Voronoi to lattice zeta functions
Trudy Mat. Sbornik, Proc. Steklov Inst. Math. 276 (2012) 103-124
Application of an idea of Voronoi, a report
In: Geometry: Intuitive, Discrete, and Convex
Bolyai Soc., Math. Studies 24 (2013) 109-157
Application of an idea of Voronoi to lattice packing
Ann. Math. Pura Appl. (4) 193 (2014) 939-959
Normal bundles of convex bodies
Adv. in Math. 254 (2014) 419-453
Application of an idea of Voronoi to lattice packing, supplement
Ann. Math. Pura Appl. 195 (2015) 473-487
Claude Ambrose Rogers 1st November 1920 - 5th December 2005
(with K.Falconer, A.Ostaszewski, T.Stuart)
Biographical Memoirs of the Fellows of the Royal Society 61 (2015) 403-435
Extremum properties of lattice packing and covering with circles
Adv. of Geom. 16 (2016) 93-110