Cosmetic composition comprising, in a physiologically acceptable medium, the combination of at least one monosaccharide selected from mannose, rhamnose or its mixture, and at least one additional compound selected from adenosine, one of its analogues or its mixture, in which the amount of said additional compound is comprised between 0.01% and 10% by weight with respect to the total weight of the composition, and in which the adenosine or one of its analogs is selected from adenosine, 2'-deoxyadenosine, 2 ', 3'-Isopropylidenadenosine, Toyocamycin, 1-Methyladenosine, N-6-Methyladenosine, N-Adenosine Oxide, 6-Methylmercaptopurinariboside, 6-4 Chloropurine-Riboside, Phenylisopropyladenosine ("PIA"), 1-Methylisoguanosine (N-6) ), N6-cyclopentyladenosine (CPA), 2-chloro-N6-cyclopentyladenosine, 2-chloroadenosine, N6-phenyladenosine, 2- phenylaminoadenosine, MECA, N6-phenethyladenosine, 2-p- (2-carboxy-ethyl) phenethyl-amino- 5'-N-ethylcarboxamido-adenosine (CGS-21680), N-ethylcarboxamid oadenosine (NECA), 5 '- (N-cyclopropyl) -carboxamidoadenosine, DPMA (PD 129,944), metrifudil, erythro-9- (2-hydroxy-3-nonyl) adenine ("EHNA"), iodotubercidine, compounds of formula ( I) in which: R1 and R2 equal indicate a saturated linear hydrocarbon radical C1-C6, or unsaturated C2-C6, or branched C3-C6 saturated or unsaturated, or even together form, with the oxygen atoms to which they are attached , an isopropylidene radical； R3 indicates: (i) a saturated linear hydrocarbon radical C1-C10, or unsaturated C2-C10, or branched C3-C10 saturated or unsaturated, optionally substituted with at least one group selected from -OR ', - NR'R ", - COOR ', -CONR'R ", -CF3, -F, -OCF3, -CN, -NO2, or (ii) a group -COR4, R4 indicating a saturated linear hydrocarbon radical C1-C9, or unsaturated C2-C9, or branched C3-C9 saturated or unsaturated, optionally substituted with at least one group selected from -OR ', -NR'R ", -COOR', -CONR'R", -CF3, -F, -OCF3, -CN, -NO2； or (iii) an ester group derived from
