When using OAuth (2) I need a redirection endpoint in my application that the OAuth-offering service can redirect to, once I have been authenticated.
How do I handle this in a single page application? Of course, a redirect to the OAuth-offering service is not nice here, and it may not even be possible to redirect back.
I know that OAuth also supports a username / password based token generation. This works perfectly with an AJAX call, but requires my single page application to ask for a username and password.
How do you usually handle this?
Most of the time, a redirect is okay even for SPA because users don't like to put their X service credentials on any other website than X. An alternative will be to use an small popup window, you can check what Discourse does. IMHO a redirect is better than a popup.
Google Some providers support the resource owner flow which is what you described as sending username and password, but this is not nice. These are the problems I see:
OAuth describes a client-side flow called implicit flow. Using this flow you don't need any interaction in your server-side and you don't need the client_secret. The OAuth provider redirects to your application with a "#access_token=xx". It is called implicit because you don't need to exchange authorization code per access token, you get an access_token directly.
Google implement the implicit flow, check: Using OAuth2 for Client-Side apps.
If you want to use the implicit flow with some provider that doesn't support it like Github, you can use an authentication broker like Auth0.
disclaimer: I work for Auth0.