There are numerous synonyms for the phrase "riveting one's eyes". Some of the popular ones include gazing, staring, fixating, peering, scrutinizing, observing, and examining. These terms refer to the act of looking intently at something or someone and being completely absorbed in what is being seen. While the word "riveting" suggests a sense of excitement and fascination, the other synonyms have slightly different nuances. For instance, scrutinizing suggests a more critical examination, whereas observing may connote a more passive form of looking. Regardless of which synonym is used, they all convey the intensity and focus of the act of riveting one's eyes.
