Intrinsically Lipschitz Graphs on Semidirect Products of Groups

In metric groups, we give some equivalent conditions of intrinsically Lipschitz maps introduce by Franchi, Serapioni and Serra Cassano in subRiemannian Carnot groups. Unlike the case of the Carnot groups, in our context intrinsic dilations do not exist but we can prove the same results using the Lipschitz property of the projection maps. 2020 Mathematics Subject Classification. 53C17, 26A16, 51F30, 54E35.