Elastomers which have excellent stability to prevent oxidative, thermal, dynamic, light-induced and/or ozone-induced degradation comprise, as stabilizers, at least one compound of the formula (I): [R-S(=O)m-CH2-CH(OH)-CH2]n-N(R1)2-n-R2, in which R is C¿4?-C20alkyl, hydroxyl-substituted C4-C20alkyl; phenyl, benzyl, α-methylbenzyl, α,α-dimethylbenzyl, cyclohexyl or -(CH2)qCOOR?3¿, and, if m is 0, R may additionally be (a); and, if n is 1 and R4 is hydrogen, R may additionally be R?2-R1N-CH¿2-CH(OH)-CH2-S(=O)m-(CH2)x- or R?2-R1N-CH¿2-CH(OH)-CH2-S(=O)m-CH2-CH2-(O-CH2-CH2)y-, R1 is hydrogen, cyclohexyl or C¿3?-C12 alkyl, R?2¿ is (b), R3 is C1-C18alkyl, R4 is hydrogen or -CH¿2?-CH(OH)-CH2-S(=O)m-R, X is C1-C8alkyl, Y is C1-C8alkyl, m is 0 or 1, n is 1 or 2, q is 1 or 2, x is from 2 to 6, and y is 1 or 2. The compounds of the formula (I) are also suitable as stabilizers for elastomers to prevent contact discoloration of substrates coming into contact with elastomers.