Geodesic
Measuring Axial Symmetry in Convex Cones
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 983-1011
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The problem of measuring the degree of central symmetry of a convex body has been treated by various authors since the early twentieth century. This work addresses the issue of measuring the degree of axial symmetry of a convex cone. Passing from central symmetry in convex bodies to axial symmetry in convex cones is not a mere routine. Although it is possible to push the parallelism between both issues at a great level of generality, there are a number of substantial differences as well.
Classification : 47L07, 52A20, 52A40, 52A41
Mots-clés : Convex cone, axially symmetric cone, axial symmetry degree, generalized reflection matrices 
@article{JCA_2018_25_3_JCA_2018_25_3_a13,
     author = {A. Seeger and M. Torki},
     title = {Measuring {Axial} {Symmetry} in {Convex} {Cones}},
     journal = {Journal of convex analysis},
     pages = {983--1011},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a13/}
}
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A. Seeger; M. Torki. Measuring Axial Symmetry in Convex Cones. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 983-1011. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a13/