This is a metonym that refers to being on earth and being among the people who oppose God. Alternate translation: "among the people who do not belong to you" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Here the word "name" is a metonym for God's power and authority. Alternate translation: "keep them safe by your power and authority, which you have given me" (See: [[rc://en/ta/man/translate/figs-metonymy]])