Keywords: 52A20; 52A38; Convex body; Congruent sections; Unique determination;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 52A55; 52A20; 52A38; 52A40; Convex bodies; Sections; Hyperbolic and spherical spaces; Radon transform; Spherical harmonics;
Keywords: primary; 52A38; secondary; 52A27; 52A55; 52B05; 52B60; Convex floating body of polytope; Weighted floating body of polytope; Total number of flags; Flag simplex; Spherical polytope; Hyperbolic polytope;
Keywords: primary; 31B15; secondary; 52A38; Convex body; Gravitational potential;
Keywords: 14Q05; 26B05; 28A75; 28A80; 51M25; 52A38; Fractal; Dendrite; Tree; Graph; Path length; SierpiÅski carpets;
Keywords: primary; 52A20; 52A39; secondary; 28B20; 52A38; 52A40; Convex body; Steiner symmetrization; Schwarz symmetrization; Minkowski symmetrization; Central symmetrization;
Keywords: 28A75; 52A38; 55R80Measure equipartition; The sphere waist theorem; Borsuk–Ulam theorem
The topological matter of holonomy displacement on the principal U(n)-bundle over Dn,m, related to complex surfaces
Keywords: 53C29; 53C30; 53C35; 52A38; Holonomy displacement; Area form; Riemannian submersion; Complex surface; Complete totally geodesic submanifold; Grassmannian manifold;
Grünbaum's inequality for sections
Keywords: 52A20; 52A38; 52A40; Centroid; Convex Bodies; Grünbaum's inequality; Sections;
Necessary subspace concentration conditions for the even dual Minkowski problem
Keywords: 52A40; 52A38; Dual curvature measure; Cone-volume measure; Surface area measure; Lp-Minkowski problem; Logarithmic Minkowski problem; Dual Brunn-Minkowski theory;
On the Lp dual Minkowski problem
Keywords: 52A40; 52A38; 35J96; 35J20; Lp dual Minkowski problem; Lp Minkowski problem; Dual Minkowski problem; Degenerate Monge-Ampère equation; Regularity;
On the 2-dimensional dual Minkowski problem
Keywords: 52A38; 35J15; 35J96; Dual Minkowski problem; Lp-Minkowski problem; Monge-Ampère equation;
Corrigendum to “The sharp Sobolev and isoperimetric inequalities split twice” [Adv. Math. 211 (2) (2007) 417-435]
Keywords: primary; 26D10; 31B15; 46E35; secondary; 52A38; 53A15; 53A30; Sharpness; Analytic/geometric inequality; Volume; Surface area; Integral affine surface area; 1-variational capacity; 1-directional capacity;
The isoperimetrix in the dual Brunn–Minkowski theory
Keywords: 52A38; 52A40; 53C60Isoperimetrix; Isoperimetric inequality; Brunn–Minkowski theory; Dual Brunn–Minkowski theory; Affine inequality; Finsler manifold
On the analogue of the concavity of entropy power in the Brunn–Minkowski theory
Keywords: 52A38; 52A40; 94A17; 53A05Entropy power; Parallel volume; Parallel set; Isoperimetric inequality; Brunn–Minkowski
Volumes of low-dimensional slabs and sections in the cube
Keywords: 52A40; 52A38; Volume; Sections; Slabs; n-Cube;
Reduced convex bodies in Euclidean space—A survey
Keywords: 52A20; 52A21; 52A38; 52A40; 52B12; 52B60Complete set; Constant width; Convex body; Diameter; Isodiametric problem; Minimal width; Perimeter; Reduced body; Thickness; Width function
Eigenvalues, separability and absolute separability of two-qubit states
Keywords: 81P05; 52A38; 15A90; 28A75; 03.67.-a; 02.30.Cj; 02.40.Ky; 02.40.Ft; Eigenvalues; Diagonal entries; SO(4); Two qubits; Arc-sine function; Hilbert-Schmidt metric; Bures metric; Minimal monotone metric; Separability functions; Absolute separability; Separa
Extended studies of separability functions and probabilities and the relevance of Dyson indices
Keywords: 81P05; 52A38; 15A90; 28A75; 03.67.-a; 02.30.Cj; 02.40.Ky; 02.40.Ft; Hilbert-Schmidt metric; Bures metric; Minimal monotone metric; Quaternionic quantum mechanics; Separable volumes; Separability probabilities; Two-qubits; Separability functions; Truncat