Are gift taxes triggered if you add a joint owner not on loan?

[Ellie Narie]

I'm wondering... if I get an FHA loan and buy a 4-plex to owner occupy, and if I put another person on the deed who is NOT on the mortgage, would gift taxes be triggered? And if so, how are those calculated? If the 4plex is worth 500k (but I only put down 3.5%), does that mean that I'm "gifting" 250k to the other person? Or am I only "gifting" half of the downpayment?

And another question-- if I will be the only one claiming all the income and all the expenses for this property, does that mean that the other person is "gifting" me their portion - aka 50% - of the rental income from this property? Does this mean that the other person still has to claim half the rental income?

We want to structure it so that we are both on the deed, but I'm the only one on the mortgage, and I'm the only one that will claim the income and expenses, without incurring any additional gift taxes or anything. The other person doesn't want any of the rental income shown anywhere on their tax return.