Found 76 Documents (Results 1–76)
Width of convex bodies in hyperbolic space. (English) Zbl 1534.52008
MSC:
52A55
A curvature flow approach to \(L^p\) Christoffel-Minkowski problem for \(1<p<k+1\). (English) Zbl 1531.35167
Projections and angle sums of belt polytopes and permutohedra. (English) Zbl 1528.52005
Reviewer: Geir Agnarsson (Fairfax)
Approximation of quadrilaterals by triangles with respect to minimal width. (English) Zbl 1516.52009
Reviewer: T. D. Narang (Amritsar)
Chernoff type inequalities involving \(k\)-order width and their stability properties. (English) Zbl 1511.52009
Reviewer: S. S. Kutateladze (Novosibirsk)
MSC:
52A40
Diametrically complete sets with empty interior and constant width sets with empty interior. (English) Zbl 1514.46014
Reviewer: Clemente Zanco (Milano)
Minkowski symmetrization and projection bodies. (English) Zbl 1508.52003
Reviewer: Lienhard Wimmer (Isny)
Local conicity and polyhedrality of convex sets. (English) Zbl 1502.52006
Reviewer: Alexey Alimov (Moskva)
On the convolution bodies of \(L_p\)-addition. (English) Zbl 1498.52014
Reviewer: Jin Li (Shanghai )
MSC:
52A40
Extremal problems for convex curves with a given self Chebyshev radius. (English) Zbl 1469.52002
Reviewer: Pedro Martín Jiménez (Badajoz)
On the relative distances of nine points in the boundary of a plane convex body. (English) Zbl 1467.52005
Banach-Mazur distance from the parallelogram to the affine-regular hexagon and other affine-regular even-gons. (English) Zbl 1467.52008
Penumbras and separation of convex sets. (English) Zbl 1472.52007
Reviewer: Gennadiy Averkov (Magdeburg)
The perimeter and area of reduced spherical polygons of thickness \(\pi /2\). (English) Zbl 1453.52010
Reviewer: Gabriela Cristescu (Arad)
An isoperimetric inequality for isoptic curves of convex bodies. (English) Zbl 1450.52001
Reviewer: Pedro Martín Jiménez (Badajoz)
On the eigenvalues and the torsional rigidities of regular Reuleaux polygons. (English) Zbl 1440.52003
Locating diametral points. (English) Zbl 1443.52002
Reviewer: Gabriela Cristescu (Arad)
Borsuk number for planar convex bodies. (English) Zbl 1440.52001
Reviewer: Pedro Martín Jiménez (Badajoz)
MSC:
52A10
A generalized mixed width inequality and a generalized dual mixed radial inequality. (English) Zbl 1419.52008
Reviewer: Niufa Fang (Chongqing)
Holditch’s theorem in 3D space. (English) Zbl 1419.53003
Reviewer: Laurian Ioan Piscoran (Baia Mare)
An extremal property of \(p\)-mean width. (English) Zbl 1390.52015
MSC:
52A40
Dual Orlicz mixed affine quermassintegrals. (English) Zbl 1385.52004
Reviewer: Gabriela Cristescu (Arad)
Semi-inner products and the concept of semi-polarity. (English) Zbl 1367.46023
Reviewer: V. Lokesha (Bangalore)
Circle numbers of regular convex polygons. (English) Zbl 1380.52002
Reviewer: Mowaffaq Hajja (Amman)
Barker-Larman problem for convex polygons in the hyperbolic plane. (English) Zbl 1329.52007
Reviewer: Sorin-Mihai Grad (Chemnitz)
Hyper-ideal circle patterns with cone singularities. (English) Zbl 1330.52026
Reviewer: Sorin-Mihai Grad (Chemnitz)
Orlicz dual mixed volumes. (English) Zbl 1329.52008
Reviewer: Guangxian Zhu (New York)
On reduced triangles in normed planes. (English) Zbl 1296.46011
Reviewer: David Yost (Ballarat)
Cassini curves in normed planes. (English) Zbl 1276.52008
Reviewer: Martin Henk (Magdeburg)
On the circumradius of a special class of \(n\)-simplices. (English) Zbl 1259.52007
Reviewer: Dimitris P. Vartziotis (Ioannina)
Another splitting of the Pasch axiom. (English) Zbl 1227.51011
Reviewer: Norbert Knarr (Gießen)
Starshapedness vs. convexity. (English) Zbl 1218.52004
Reviewer: Paolo Dulio (Milano)
On a special class of \(n\)-simplices. (English) Zbl 1181.52022
Reviewer: Vasyl Gorkaviy (Kharkov)
Minimum chords in Minkowski planes. (English) Zbl 1181.46006
Reviewer: Konrad Swanepoel (London) (MR2520632)
On Steiner’s symmetrization of convex bodies in non-Euclidean geometry. (English) Zbl 1166.52010
Reviewer: Johannes Böhm (Jena)
Polar curves in the non-Euclidean geometry. (English) Zbl 1148.53010
Reviewer: Athanase Papadopoulos (Strasbourg)
Convex functions with unbounded gradient. (English) Zbl 1088.52008
Reviewer: Rita Pini (Milano)
The metric completion of convex sets and modules. (English) Zbl 1034.52004
Reviewer: Taras Banakh (Lviv)
Bounds for the Newton number in the plane. (English) Zbl 1007.52009
Reviewer: William Moser (Montreal)
The Reuleaux triangle and its center of mass. (English) Zbl 0965.52004
Reviewer: Horst Martini (Chemnitz)
Nearly umbilical ovaloids in the \(n\)-space are close to spheres. (English) Zbl 0938.52005
Reviewer: Maria Moszyńska (Warszawa)
Uniqueness of horospheres and geodesic cylinders in hyperbolic space. (English) Zbl 0943.52001
Reviewer: Anton Gfrerrer (Graz)
On the determination of convex bodies by projection and girth functions. (English) Zbl 0903.52002
Reviewer: S.Vassallo (Milano)
MSC:
52A20
Curvature relations and affine surface area for a general convex body and its polar. (English) Zbl 0861.52003
Reviewer: K.Leichtweiß (Stuttgart)
Combinatorial geometry of belt bodies. (English) Zbl 0853.52004
Reviewer: W.Weil (Karlsruhe)
Inflection points and affine vertices of closed curves on 2-dimensional affine flat tori. (English) Zbl 0836.53007
Reviewer: A.Perović (Berlin)
On the Aleksandrov-Fenchel inequality for convex bodies. I. (English) Zbl 0705.52011
Reviewer: L.A.Santaló
Paarweise kantendisjunkte maximale matchings in normalen periodischen Pflasterungen. (On pairwise edge-disjoint maximal matchings in normal periodic tilings). (German) Zbl 0674.52007
Reviewer: A.Florian
Über einige Eigenschaften der Affinoberfläche beliebiger konvexer Körper. (On some properties of the affine surface area of arbitrary convex bodies). (German) Zbl 0645.53004
Reviewer: L.A.Santalo
Das isodiametrische Problem der Minkowski-Geometrie. (The isodiametric problem in Minkowskian geometry). (German) Zbl 0633.52010
Reviewer: L.A.Santaló
Parallel-Béziersegmente. (Parallel Bézier segments). (German) Zbl 0629.52003
Reviewer: G.Geise
Geometric inequalities for Poisson processes of convex bodies and cylinders. (English) Zbl 0626.60018
Reviewer: J.S.Müller
Mittlere Schattengrenzenlänge konvexer Körper. (German) Zbl 0578.52004
Reviewer: O.Giering
Some remarks about recent results on the asymptotic cone. (English) Zbl 0555.52005
Reviewer: J.Danes
MSC:
52A20
Further results on the asymptotic cone. (English) Zbl 0539.52003
Reviewer: J. Daneś
MSC:
52A05
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