I don't recall ever saying it was specific only to the GSM line of evolution, or even that it was available only to GSM based carriers. LTE certainly does fall under the GSM line of evolution though, according to 3GPP, making it ideal that a carriers underlying network be GSM & UMTS, not CDMA or CDMA2000.
i do remember reading that LTE was somewhat designed to be backward compatible to cdma2000/evdo networks to encourage current cdma carriers to choose LTE for 4G.
also, bell & telus in canada which are major cdma carriers have announced as well that they will be going LTE for 4g.. as well as putting up umts/hspa network for next year (not sure why they wouldnt just go straight to LTE)