Found 776 Documents (Results 1–100)
The density of Meissner polyhedra. (English) Zbl 07900833
Reviewer: Gaiane Panina (Sankt-Peterburg)
Local structure of convex surfaces. (English. Russian original) Zbl 07891404
Sb. Math. 215, No. 3, 401-437 (2024); translation from Mat. Sb. 215, No. 3, 119-158 (2024).
Geometry of entanglement and separability in Hilbert subspaces of dimension up to three. (English) Zbl 07879934
The exact bound for the reverse isodiametric problem in 3-space. (English) Zbl 1541.52004
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 111, 22 p. (2024).
Variational worn stones. (English) Zbl 07855935
On a formula for all sets of constant width in 3D. (English) Zbl 1540.52002
Reviewer: Rolf Schneider (Freiburg im Breisgau)
MSC:
52A15
Edge-unfolding nested prismatoids. (English) Zbl 1523.52002
Reviewer: Pedro Martín Jiménez (Badajoz)
Some classes of minimal surfaces in the \(3\)-space with \(2m\)-norm. arXiv:2407.08896
Preprint, arXiv:2407.08896 [math.DG] (2024).
Small volume bodies of constant width with tetrahedral symmetries. arXiv:2406.18428
Preprint, arXiv:2406.18428 [math.MG] (2024).
Local minima in Newton’s aerodynamical problem and inequalities between norms of partial derivatives. arXiv:2405.05415
Preprint, arXiv:2405.05415 [math.OC] (2024).
On some relations between the Perimeter, the Area and the Visual Angle of a Convex Set. arXiv:2404.08349
Preprint, arXiv:2404.08349 [math.DG] (2024).
Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation. arXiv:2403.01372
Preprint, arXiv:2403.01372 [math.DG] (2024).
On the Gaussian surface area of spectrahedra. (English) Zbl 07916416
Eldan, Ronen (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2020–2022. Cham: Springer. Lect. Notes Math. 2327, 57-65 (2023).
Integral geometry of pairs of lines and planes. (English) Zbl 1535.52008
Alarcón, Antonio (ed.) et al., New trends in geometric analysis. Spanish network of geometric analysis 2007–2021. Cham: Springer. RSME Springer Ser. 10, 119-140 (2023).
Estimations of covering functionals of simplices. (English) Zbl 1534.52018
Reviewer: Marek Lassak (Bydgoszcz)
On the structure of singular points of a solution to Newton’s least resistance problem. (English) Zbl 1530.49009
The infimum of the dual volume of convex cocompact hyperbolic 3-manifolds. (English) Zbl 1530.30041
Reviewer: Andrea Tamburelli (Houston)
Rigidity of nonpositively curved manifolds with convex boundary. (English) Zbl 1527.53041
Reviewer: Nima Hoda (Ithaca)
Banach’s isometric subspace problem in dimension four. (English) Zbl 1532.46007
Reviewer: Tomasz Kania (Praha)
Isometry groups of the spaces of truncated pentakis dodecahedron and truncated triakis icosahedron. (English) Zbl 1524.51001
Peabodies of constant width. (English) Zbl 1517.52001
A characterization of the symmetry groups of mono-monostatic convex bodies. (English) Zbl 1516.52003
Reviewer: Rolf Schneider (Freiburg im Breisgau)
A new bound for Hadwiger’s covering problem in \(\mathbb{E}^3\). (English) Zbl 1518.52010
Reviewer: Lionel Pournin (Paris)
Same average in every direction. arXiv:2310.18960
Preprint, arXiv:2310.18960 [math.CO] (2023).
MSC:
52A15
Convexity and rigidity of hypersurfaces in Cartan-Hadamard manifolds. arXiv:2308.15454
Preprint, arXiv:2308.15454 [math.DG] (2023).
On the solid angle of a convex set. arXiv:2303.03255
Preprint, arXiv:2303.03255 [math.MG] (2023).
Shur type comparison theorems for affine curves with application to lattice point estimates. arXiv:2302.03809
Preprint, arXiv:2302.03809 [math.DG] (2023).
The level sets of functions with bounded critical sets and bounded Hess\(^+\) complements. (English) Zbl 07858078
The plasticity of fittable cones for a given quadruple of points on the surface of a unit 2-sphere. (English) Zbl 1536.51007
Reviewer: Georgi Hristov Georgiev (Shumen)
Ellipses surrounding convex bodies. (English) Zbl 1524.52003
MSC:
52A15
Pinsker inequalities and related Monge-Ampère equations for log-concave functions. (English) Zbl 1528.26014
Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). (English) Zbl 1509.52006
Reviewer: Ana Pereira do Vale (Braga)
On a question of supports. (English) Zbl 1497.14056
Configured polytopes and extremal configurations. (English) Zbl 1504.52002
Reviewer: Maria A. Hernández Cifre (Murcia)
A negative answer to Ulam’s problem 19 from the Scottish Book. (English) Zbl 1529.52008
Reviewer: Piotr Niemiec (Kraków)
Covering functionals of convex polytopes with few vertices. (English) Zbl 1502.52005
Reviewer: Thomas Jahn (Chemnitz)
Covering convex hulls of compact convex sets with smaller homothetic copies. (English) Zbl 1527.52002
Reviewer: Matthias Schymura (Cottbus)
The lifting projection of convex polyhedra for finding Delaunay triangulations. (English) Zbl 1490.52002
Reviewer: Pedro Martín Jiménez (Badajoz)
MSC:
52A15
Non-optimality of conical parts for Newton’s problem of minimal resistance in the class of convex bodies and the limiting case of infinite height. (English) Zbl 1494.49021
Reviewer: Igor Bock (Bratislava)
New estimates for \(d_{2,1}\) and \(d_{3,2}\). arXiv:2207.09552
Preprint, arXiv:2207.09552 [math.MG] (2022).
Isometry groups of truncated tetrakis hexahedron and truncated triakis octahedron spaces. (English) Zbl 07806196
Linear systems of real quadratic forms. II. (English) Zbl 1514.15003
Calabi, Eugenio, Collected works. Edited by Jean-Pierre Bourguignon, Xiuxiong Chen and Simon Donaldson. Berlin: Springer. 545-548 (2021).
Analytic representation of the VV, SV and SSB cutting surfaces for generalized Möbius-Listing’s bodies. (English) Zbl 1538.32012
On generalized Newton’s aerodynamic problem. (English) Zbl 1491.49003
Trans. Mosc. Math. Soc. 2021, 183-191 (2021) and Tr. Mosk. Mat. O.-va 82, No. 1, 217-226 (2021).
Pairwise intersecting convex sets and cylinders in \(\mathbb{R}^3\). (English) Zbl 1513.52010
Reviewer: Mircea Balaj (Oradea)
Trajectory of an observer tracking the motion of an object around a convex set in \({{\mathbb{R}}^3} \). (English. Russian original) Zbl 1486.52004
Dokl. Math. 104, No. 3, 399-401 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 95-97 (2021).
Generalized regularity and the symmetry of branches of “botanological” networks. (English) Zbl 1485.52003
Nodes on quintic spectrahedra. (English) Zbl 1481.14061
A generalization of the total mean curvature. (English) Zbl 1497.53012
Reviewer: Esther Sanabria (Valencia)
Separating hyperplanes of convex sets. (English) Zbl 1490.52003
Reviewer: Gabriela Cristescu (Arad)
On decomposition of embedded prismatoids in \(\mathbb{R}^3\) without additional points. (English) Zbl 1479.51020
Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 95-111 (2021).
Tight polyhedral embeddings and relative chromatic number of surfaces with boundary. (Plongements polyédraux tendus et nombre chromatique relatif des surfaces à bord.) (French) Zbl 1479.52024
Reviewer: Robert Dawson (Halifax)
Some characterizations of the circle related to circumscribed equiangular polygons. (English) Zbl 1475.52002
The Bonnesen-style isoperimetric inequalities of the tetrahedral in \({\mathbb{R}^3}\). (Chinese. English summary) Zbl 1488.52014
On the (Dual) Blaschke diagram. (English) Zbl 1473.52003
Reviewer: Alexey Alimov (Moskva)
A Pu-Bonnesen inequality. (English) Zbl 1483.53085
Reviewer: Maria A. Hernández Cifre (Murcia)
An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space. (English) Zbl 1465.51007
The dual Bonahon-Schläfli formula. (English) Zbl 1472.53086
Reviewer: Corina Mohorianu (Iaşi)
Metric-measure boundary and geodesic flow on Alexandrov spaces. (English) Zbl 1493.53087
Reviewer: Yuanqi Wang (Stony Brook)
Every \(3\)-dimensional convex body can be covered by \(14\) smaller homothetic copies. arXiv:2112.10698
Preprint, arXiv:2112.10698 [math.MG] (2021).
Covering the crosspolytope with its smaller homothetic copies. arXiv:2103.10004
Preprint, arXiv:2103.10004 [math.MG] (2021).
Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm. (English. Russian original) Zbl 1465.41011
Mosc. Univ. Math. Bull. 75, No. 5, 209-215 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 5, 26-32 (2020).
Reviewer: Sorin-Mihai Grad (Wien)
On some properties of primitive polyhedrons. (English) Zbl 1462.52002
Reviewer: Pedro Martín Jiménez (Badajoz)
Sections and projections of three-dimensional convex bodies. (English. Russian original) Zbl 1453.52002
J. Math. Sci., New York 251, No. 4, 516-517 (2020); translation from Zap. Nauchn. Semin. POMI 476, 131-133 (2018).
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Some characterizations of the ellipsoid by centroids of concurrent sections. (English) Zbl 1451.52002
MSC:
52A15
Differential geometry of immersed surfaces in three-dimensional normed spaces. (English) Zbl 1475.53022
Reviewer: Parviz Ahmadi (Zanjan)
Cages of small length holding convex bodies. (English) Zbl 1454.52008
Reviewer: Antal Joós (Baracs)
The plasticity of some mass transportation networks in the three dimensional Euclidean space. (English) Zbl 1448.51004
Reviewer: Victor V. Pambuccian (Glendale)
Fundamental gap of convex domains in the spheres. (English) Zbl 1446.52003
MSC:
52A15
Simple closed geodesics on regular tetrahedra in Lobachevsky space. (English. Russian original) Zbl 1453.51005
Sb. Math. 211, No. 5, 617-642 (2020); translation from Mat. Sb. 211, No. 5, 5-30 (2020).
Reviewer: Zdeněk Dušek (České Budějovice)
Reuleaux triangle in architecture and applications. (English) Zbl 1436.00047
Magnaghi-Delfino, Paola (ed.) et al., Faces of geometry. From Agnesi to Mirzakhani. Based on the international conference “Faces of geometry. From Agnesi to Mirzakhani”, Milano, Italy, May 13, 2019. Cham: Springer. Lect. Notes Netw. Syst. 88, 79-89 (2020).
On convex bodies that are characterizable by volume function. “Old and recent problems for a new generation”: a survey. (English) Zbl 1442.52007
Reviewer: George Stoica (Saint John)
A simple closed curve in \(\mathbb{R}^3\) whose convex hull equals the half-sum of the curve with itself. (English) Zbl 1441.52002
Reviewer: George Stoica (Saint John)
On curvature of surfaces immersed in normed spaces. (English) Zbl 1452.53005
Reviewer: Parviz Ahmadi (Zanjan)
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