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(.dbd.O).sub.m--CH.sub.2--CH(OH)--CH.sub.2].sub.n--N(R.sup.1).sub.2-- n--R.sup.2, (I) in which R is C.sub.4 C.sub.20alkyl, hydroxyl-substituted C.sub.4 C.sub.20alkyl; phenyl, benzyl, .alpha.-methylbenzyl, .alpha.,.alpha.-dimethylbenzyl, cyclohexyl or --(CH.sub.2).sub.qCOOR.sup.3, and, if m is 0, R may additionally be ##STR00001## and, if n is 1 and R.sup.4 is hydrogen, R may additionally be R.sup.2--R.sup.1N--CH.sub.2--CH(OH)--CH.sub.2--S(.dbd.O).sub.m--(CH.- sub.2).sub.x-- or R.sup.2--R.sup.1N--CH.sub.2--CH(OH)--CH.sub.2--S(.dbd.O).sub.m--CH.sub.2-- -CH.sub.2--(O--CH.sub.2--CH.sub.2).sub.y--, R.sup.1 is hydrogen, cyclohexyl or C.sub.3 C.sub.12alkyl, R.sup.2 is ##STR00002## R.sup.3 is C.sub.1-C.sub.18alkyl, R.sup.4 is hydrogen or --CH.sub.2--CH(OH)--CH.sub.2--S(.dbd.O).sub.m--R, X is C.sub.1 C.sub.8alkyl, Y is C.sub.1 C.sub.8alkyl, 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.