Is it possible to use Google / Facebook OAuth with IOS Web App?

For IPhone it's possible to turn web page into full screen IOS Web App application with the following tag.

<meta name="apple-mobile-web-app-capable" content="yes" />

But the Google OAuth not working. When you click on "Login with Google" button and get redirected to Google Account site - instead of redirecting within the Web App the IOS instead opens new Safari window.

Is there any way to make OAuth work with IOS Web App for Google or Facebook OAuth?