CA Fam Code Section 4321

In a judgment of dissolution of marriage or legal separation of the parties, the court may deny support to a party out of the separate property of the other party in any of the following circumstances:

(a)

The party has separate property, or is earning the party’s own livelihood, or there is community property or quasi-community property sufficient to give the party proper support.

(b)

The custody of the children has been awarded to the other party, who is supporting them.