Fixedly
/ˈfɪksɪdli/
Definition 1 of 1
Pro Tip 1/3Intense Focus
Used to describe a very focused gaze, suggesting deep concentration or emotions. 
She listened to the story, looking fixedly at the speaker, absorbing every word.
Pro Tip 2/3Unwavering Attention
Implies that the attention does not shift around and is locked onto a particular object or person. 
During the lecture, he stared fixedly at the diagram, trying to understand it completely.
Pro Tip 3/3Potential Tension
Can indicate a tense or awkward situation when one person looks steadily at another. 
There was a tense silence as they gazed fixedly at each other, neither willing to concede.