"rigidly maintained" is correct and usable in written English.
You can use it to describe the strict enforcement of rules, policies, or standards, for example: "The company has a set of policies which are rigidly maintained in order to ensure consistency of quality across all operations."
This is a social world where calumny seems a sport, yet where proprieties are rigidly maintained.
Troops advanced in rigidly maintained battle lines, all firing simultaneously on command.
At very low temperatures, the solid exhibits no response to the external field, because the antiparallel ordering of atomic magnets is rigidly maintained.
Still, Mr. Ottavino, his firm voice fraying with exasperation, does a fine job of suggesting both Martin's armor of arrogance, kept in place by a rigidly maintained code of dress and speech, and the widening chinks he cannot disguise.
Progress began when Donald Fehr, who had rigidly maintained that the union had no mandate to work for the excluded players, retired as the executive director, to be replaced by Michael Weiner, its former counsel.
North Korea's nuclear ambitions have exacerbated its rigidly maintained isolation from the rest of the world.
Although the consortium is rigidly maintaining its public stance that it is confident of being in power for the start of next season, one of the businessmen prominently involved has lost confidence to the point that he believes they might not even submit a bid were it not for the criticism they would attract after such a highly publicised campaign.
Maintaining the thermal comfort of building occupants is a challenge typically negotiated by air based heating and cooling systems that rigidly maintain supply air temperatures and humidity levels.
(20130718, Deputy Director of the Bureau of Justice) Public security is like Western medicine, such as antibiotics, which rigidly maintains stability, while the judiciary is like traditional Chinese medicine, such as cordyceps sinensis, which is a flexible prevention method.
Somehow, then, the pundits have come to expect the informed voter to admire the politician who rigidly maintains a position long after it becomes untenable, and despise one whose position evolves in response to changed circumstances or a change in the moral consensus of the voting public.
RP genes are highly and co-ordinately expressed and their TSS is rigidly controlled maintaining the 5'-terminal oligo-pyrimidine tract (5'-TOP) [ 4]. 5'-TOPs are mRNA sequence elements that have been intensively studied for their role in regulation of RP translation [ 5].
