Geodesic
Special uniform Vinberg cones and their applications
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 3-17

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In this paper, we present basic facts of Vinberg's theory of homogeneous convex cones, primarily the special Vinberg cones associated with Clifford modules, and their generalization. Applications of the cone theory to differential geometry, physics (including supergravity), information geometry, convex programming, and differential equations are briefly discussed.
Keywords: convex cone, Vinberg cone, Clifford module, differential geometry. 
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     title = {Special uniform {Vinberg} cones and their applications},
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D. V. Alekseevskii. Special uniform Vinberg cones and their applications. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 3-17. http://geodesic.mathdoc.fr/item/INTO_2022_215_a0/