each keeps to their own domain; none shall encroach upon the other
Meanings
1 sense · 4 examplesidiom
to keep clear of each other; to mind one's own business; to stay out of each other's way
neutralUsed to describe a situation where two parties (individuals, groups, territories, or areas of responsibility) have clear boundaries and do not interfere with or encroach upon each other. Often implies a desire to avoid conflict by mutual non-interference.
Our two companies have different businesses; we should keep clear of each other and there's no need for cut-throat competition.
The two brothers have long since divided the family property and agreed to stay out of each other's way, each living their own life.
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This is my private space, that's your work area; let's just mind our own business.
In the entertainment industry, some celebrities deliberately keep their distance, adhering to the principle of not encroaching upon each other's territory.