Cosmetic compositions containing an eyelash curling or branching agent, or a skin-lifting mask or lotion. The mascara composition comprises a SMP, at least one film-forming polymer and at least one wax and leads to a make-up product with good staying power, as well as good coating and curling. The skin-lifting mask or lotion comprises a SMP, a water phase and an oil phase and leads to a make-up product with a skin-lifting effect. The invention also pertains to a process for coating eyelashes which consists of applying the composition to the eyelashes with heat.
