There are three vows in all:
1. paritranaya sadhunam
vinasaya ca duskrtam
dharma-samsthapanarthaya
sambhavami yuge yuge
(Bhagavad Gita 4:8)
"For the protection of the good and the punishment of the bad, for the establishment of the Moral Order, I shall concretise Myself, age after age".
2. ananyas cintayanto mam
ye janah paryupasate
tesam nityabhiyuktanam
yoga-ksemam vahamy aham
(Bhagavad Gita 9:22)
"Whoever is wholly immersed in My contemplation, with no other thought, I shall be ever with Him- and I shall bear the burden of his welfare".
3. sarva-dharman parityajya
mam ekam sharanam vraja
aham tvam sarva-papebhyo
mokshayishyami ma shuchah
(Bhagavad Gita 18:66)
"Surrender unto Me, giving up all other duties and obligations; I shall liberate you from all sin; do not grieve."
These are the three vows that Krishna has taken, and the armlets are reminders of these tasks on which He is set.