I posted this problem in the DNN Community Forum and Cathal Connolly informed me this sounds like a bug in the advanced URL provider and he recommended I log the issue here (http://www.dnnsoftware.com/forums/forumid/108/threadid/494657/scope/posts).
I have my DNN website configured to use the Redirect SiteAlias Mapping Mode and my Default Alias is www.myDomainName.com
This works great when users visit myDomaiName.com/ExamplePage.aspx it redirects them to www.myDomainName.com /ExamplePage.aspx
My problem exists when I check the "Secure" check box under the "Advanced Settings" section of the "Page Settings" menu. With this configuration for a given page. https://myDomaiName.com/ExamplePage.aspx does not redirect to https://myDomaiName.com/ExamplePage.aspx
How do I get the redirect to work for secure HTTPS pages?
Thanks in advance for your help!