Display ASP.Net MVC4 Application bounded by SharePoint 2010 Site

Hi,

We have created an ASP.Net MVC 4 Application  ,and we want this to be displayed in SharePoint 2010 Blank Site.

Some thing like,I can create visual web part in share point 2010,which is having an IFrame/Div,which should display the view of the ASP.Net MVC application.

So we are just using SharePoint site,just to know if he is an authenticated user,if so he should be able to interact with your ASP.Net MVC application,The look and feel need should be a sharepoint one

Is there any way we can achieve it,or any ideas ,how we can achieve this?