… We have attempted to pick out the most general inequalities and, in model cases, we
exhibit effective geometric constructions and the means of proving such inequalities. A …

… of the further development of geometric inequalities, and to … and problems concerning
geometric inequalities were published in … in the development of geometric inequalities branch of …

… geometrically significant objects, like balls, ellipsoids or simplexes. This fact suggests the
following stability problem: If for some convex body the given inequality … geometric inequalities …

… inequalities ([70]), and is geometric in nature being equivalent to the Brunn-Minkowski
inequality… dimensional Hardy-Littlewood-Sobolev inequality controls not only fractional integration …

… methods of proving geometrical inequalities in the process of … geometric inequalities and the
pure analytical and geometric … geometric inequalities and the pure analytical and geometric …

Let θ =(θ 0 , θ 1 ) be a fixed vector in R 2 with strictly positive components and suppose σ 0 ,
σ 1 > 0. Set σ θ = θ 0 σ 0 + θ 1 σ 1 and, if x 0 , x 1 ∈ R n , set x θ = θ 0 x 0 + θ 1 x 1 . Moreover…

… concern the geometric implications if the inequalities are in a … various stability results
concerning inequalities for plane convex … geometric inequality (1) can now be formulated as …

… The aim of this paper is to obtain some relative geometric inequalities when other geometric
… geometric characteristics of the maximizers. In particular, we solve some relative geometric …

… The general definition of CD(K, N) (see [28]) involves a modification of the geometric inequality
(6… the name “Ricci curvature bounds and geometric inequalities in the Heisenberg group”. …

… inequalities are similar in spirit to the isoperimetric inequality (1)… matter fields often suggest
geometric inequalities, which can be … geometry and physics gives to geometric inequalities in …