The district court correctly dismissed this 1983 action brought by entities that had interests in California Insurance Company, an entity that the California Insurance Commissioner had sued to place in conservation in a California state court due to various unapproved corporate transactions. Under the prior exclusive jurisdiction doctrine, when a court of competent jurisdiction has obtained possession, custody, or control of particular property, that possession may not be disturbed by any other court. At least in this case, there was no need to limit the doctrine to preserve the plaintiff’s federal constitutional rights since they could vindicate those rights in the state court conservatorship proceeding.