His eyes were bent fixedly before him, and throughout his whole countenance there reigned a stony rigidity.
When the sun went down he was still gazing fixedly across the prairie.
British Dictionary definitions for fixedly
attached or placed so as to be immovable
not subject to change; stable: fixed prices
steadily directed: a fixed expression
established as to relative position: a fixed point
not fluctuating; always at the same time: a fixed holiday
(of ideas, notions, etc) firmly maintained
(of an element) held in chemical combination: fixed nitrogen
(of a substance) nonvolatile
(astrology) of, relating to, or belonging to the group consisting of the four signs of the zodiac Taurus, Leo, Scorpio, and Aquarius, which are associated with stability Compare cardinal (sense 9), mutable (sense 2)
(informal) equipped or provided for, as with money, possessions, etc