I'm building a mobile application (that might also later become a web application). The server side is a ASP.NET MVC + Web API application and I'm thinking about ways how I could implement the service's user management and authentication.
How should I implement the registration/login screen in the app? Offer native app forms, that will send just API requests to the service or is it preferable to show a web browser component and display the website's login page and then extract a token after the user logs in? I see the first option is more user friendly, but the second one will let me change the login / registration page (like for example adding external authentication providers) without breaking older versions of the app.
My second question is regarding the external authentication providers. ASP.NET Identity has good support for them and it is quite possible to let users register using Facebook or some other OAuth2 provider. Does it make sense to add support for external authentication providers when I plan to expose the app's API publicly? Are there any reasons why that is not a good idea?