Please Note: It's highly recommended that your EM infrastructure be in a secured network behind a firewall. I accessed my EM console via a VPN connection.
Here are some screenshots from the new mobile iPhone app for Oracle Enterprise 12c Cloud Control.
After you do the initial setup, which I admit is a bit wonky, you can then select your EM site. You will see the login screen like the one below.
View all open problems.
Viewing a specific problem.
Listing fo all open incidents
All unacknowledged incidents
Manage problems by updating status, owner, priority, escalation status and add comments.
View incident status
I think this is a good start, but I hope more functionality is added over time to make this an even more useful add-on to an excellent product.