Here are the instructions for connecting your LG Voyager phone up to gmail or Google Apps (AKA gmail for your domain) using IMAP. I have gotten this working successfully.
First, you will need to log into your gmail account and click settings on the top right. Once in settings, click on the Forwarding and POP/IMAP tab.
Scroll down to where it says IMAP Access: and make sure that Enable IMAP is selected, then click Save Changes.
Follow the steps below on your LG Voyager
In the menu select get it now
Select tools on the go
Select mobile email
Select add account
Fill in the available fields
email address = email@example.com or firstname.lastname@example.org
password = your password
username = Same as email address
At this point, the phone should try to determine the settings, it should time out and have you enter them manually. Use the info below to populate the fields.
incoming server = imap.gmail.com
incoming port = 993
check requires SSL
Outgoing email server = smtp.gmail.com
outgoing port = 465
check off requires SSL
Check off requires login
scroll up to the username field and select sign in using the ok button.
That’s it, you’re done.
I found the review of this phone at Gizmodo interesting.