Domes go much farther back than the 1950s, although it’s true that covers with them became much more common then.
Hugo Gernsback’s ur-story of collected science fiction wonders, *Ralph 124C 41+ *features a floating domed vacation city, which started serialized in Modern Electrics in April 1911.
Other early mentions of domed cities include:
J. Schlossel, “A Message from Space,” Weird Tales, March 1926
David H. Keller, “A Life Everlasting,” Amazing Stories, July-August 1934
Capt. S. P. Meek, “Giants on the Earth,” Astounding Stories, Dec-1931/Jan. 1932 (though the cities are on Venus)
D. G. Turner, “Moon Madness,” Scoops, June 2, 1934 (on the moon)
Stanton A. Coblentz, “The Sunken World,”* Amazing Stories Quarterly*, August 1928 (underwater in Atlantis)
John Duthrie, “Electrolytic Onslaught,” Astounding Stories, Jun 1935 (underwater)
A. W. Bernal, “Cosmic Menace,” Amazing Stories Quarterly, Summer 1931
Clifton B. Kruse, “Menace from Saturn,” Astounding Stories, July 1935 (on Venus)
David R. Daniels, “Death Cloud,” Astounding Stories, February 1936
And another David H. Keller story, “One Way Tunnel,” Wonder Stories, January 1935 with a domed city cover by Frank R. Paul.
Domed or roofed cities were not invented by sf writers or artists. Almost nothing was. Check out the roofed city in this series of German postcards depicting the future from c1900. It was directly stolen for an American series.