doi:10.3390/universe7040099engCarmona, José ManuelCortés, José LuisRelancio, José JavierCurved momentum space, locality, and generalized space-timeART-2021-126909We establish the correspondence between two apparently unrelated but in fact comple-mentary approaches of a relativistic deformed kinematics: the geometric properties of momentum space and the loss of absolute locality in canonical space-time, which can be restored with the intro-duction of a generalized space-time. This correspondence is made explicit for the case of ¿-Poincaré kinematics and compared with its properties in the Hopf algebra framework. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.2021http://zaguan.unizar.es/record/11826110.3390/universe7040099http://zaguan.unizar.es/record/118261oai:zaguan.unizar.es:118261Universe 7, 4 (2021), 99 [17 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess