Cosmetic composition comprising, in a physiologically acceptable medium, a combination of at least one monosaccharide chosen from mannose, rhamnose and their mixture, and of at least one additional compound chosen from adenosine, an analogue thereof and a mixture thereof, in which the amount of the said additional compound is between 0.01% and 10% by weight relative to the total weight of the compositionat, and in which the adenosine or analogue thereof is chosen from adenosine, 2'-deoxyadenosine, 2',3'-isopropylideneadenosine, toyocamycine, 1-methyladenosine, N-6-methyladenosine, adenosine N-oxide, 6-methylmercaptopurine riboside, 6-4 chloropurine riboside, phenylisopropyladenosine, 1-methylisoguanosine, N6-cyclohexyladenosine, N6-cyclopentyladenosine, 2-chloro-N6-cyclopentyladenosine, 2-chloroadenosine, N6-phenyladenosine, 2-phenylaminoadenosine, MECA, N6-phenethyladenosine, 2-p-(2-carboxyethyl)phenethylamino-5'-N-ethylcarboxamidoadenosine (CGS-21680), N-ethylcarboxamidoadenosine (NECA), 5'-(N-cyclopropyl)carboxamidoadenosine, DPMA (PD129,944), metrifudil, erythro-9-(2-hydroxy-3-nonyl)adenine (EHNA), iodotubercidine, the compounds of formula: in which: R1 and R2, which are identical, denote a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical, or alternatively form, together with the oxygen atoms to which they are attached, an isopropylidene radical; R3 denotes: (i) a linear saturated C1-C10 or unsaturated C2-C10, or branched saturated or unsaturated C3-C10 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', CONR'R", -CF 3, -F, -OCF 3, -CN and - NO 2, or (ii) a group -COR4 with R4 denoting a linear saturated C1-C9 or unsaturated C2-C9, or branched saturated or unsaturated C3-C9 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', - CONR'R", -CF 3, -F, -OCF 3, -CN and -NO 2; or (iii) a biotin-based ester group; R' and R" denoting a hydrogen atom, a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OZ, -NZZ' and -COOZ, Z and Z' denoting, independently of each other, a hydrogen atom or a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical; and the salts, optical isomers and solvates thereof. R1 and R2, which are identical, denote a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical, or alternatively form, together with the oxygen atoms to which they are attached, an isopropylidene radical; R3 denotes: (i) a linear saturated C1-C10 or unsaturated C2-C10, or branched saturated or unsaturated C3-C10 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', CONR'R", -CF 3, -F, -OCF 3, -CN and - NO 2, or (ii) a group -COR4 with R4 denoting a linear saturated C1-C9 or unsaturated C2-C9, or branched saturated or unsaturated C3-C9 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', - CONR'R", -CF 3, -F, -OCF 3, -CN and -NO 2; or (iii) a biotin-based ester group; (i) a linear saturated C1-C10 or unsaturated C2-C10, or branched saturated or unsaturated C3-C10 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', CONR'R", -CF 3, -F, -OCF 3, -CN and - NO 2, or (ii) a group -COR4 with R4 denoting a linear saturated C1-C9 or unsaturated C2-C9, or branched saturated or unsaturated C3-C9 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OR', -NR'R", -COOR', - CONR'R", -CF 3, -F, -OCF 3, -CN and -NO 2; or (iii) a biotin-based ester group; R' and R" denoting a hydrogen atom, a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical, optionally substituted with at least one group chosen from -OZ, -NZZ' and -COOZ, Z and Z' denoting, independently of each other, a hydrogen atom or a linear saturated C1-C6 or unsaturated C2-C6, or branched saturated or unsaturated C3-C6 hydrocarbon-based radical; and