Composition containing a secondary or tertiary carbonyl amine, method of use thereof, compounds

A process comprising topically applying to wrinkled skin a composition comprising, in a physiologically acceptable medium, at least one compound of formula (I):

• 15
• in which:
• R1 denotes a hydrogen atom or a linear or branched, saturated or unsaturated C1-C8 alkyl group,
• R2 denotes:
• a linear, branched or cyclic, saturated or unsaturated C1-C20 alkyl group, optionally substituted with an ═O group, and/or with one or more of —CN, —OR, —SR, —NRR′, —COR, —COOR, —CONRR′, —NR—CO—R′, —NR—CO—NR′R″ or —CF3 groups and/or with one or more halogen atoms and/or with a phenyl group optionally substituted with a C1-C4 alkyl group, a C1-C4 alkoxy group, a hydroxyl group, a halogen atom and/or a CF3 group,
• an aryl group optionally substituted with at least one of a C1-C4 alkyl group, a C1-C4 alkoxy group, a hydroxyl group, a halogen atom or a CF3 group, or
• a heterocycle,
• in which R, R′ and R″ independently denote a hydrogen atom or a linear or branched C1-C4 alkyl group, or an aryl group,
• R3 denotes a linear, branched or cyclic, saturated or unsaturated C1-C12 alkyl group, or an aryl group, optionally substituted with a hydroxyl group, a C1-C4 alkoxy group or a hydrogen atom, a —CN, —OR, —SR, —NRR′, —COR, —COOR, —CONRR′, —NR—CO—R′, —NR—CO—NR′R″ or —CF3 group or a halogen atom,
• in which R, R′ and R″ have the meaning given above,
• X is a saturated or unsaturated, optionally substituted linear C1-C9 alkylene group,
• Y is a saturated or unsaturated, optionally substituted linear C1-C10 alkylene group,
• the substituents of X and Y being chosen independently from —OR, —SR, —NRR′, —COR, —COOR, —CO—NRR′, —NR—CO—R′R″, CF3 groups and mixtures thereof,
• in which R, R′ and R″ have the meaning given above,
• m is 0 or 1,
• n is 0, 1, 2 or 3,
• and the addition salts thereof with an acid.