I have a lime tree planted 6 feet from a Meyer lemon. The lime tree is covered with fruit, but nothing from the lemon. Both are planted in the ground facing north, not a pot, and are about 3 years old.
Is the Meyer grown from seed? Do you know what rootstock, if it is grafted? What type lime? What type and pH of soil do you have? Can you post pictures?
When did you plant the lemon? If it was 3 years ago, how large is it?