Static has multiple meanings in C++.
Static variables in C# basically only have a single meaning: variables scoped to a type. In C#, static on a type is used to denote a type-scoped variable. Static on a method is a type-scoped method. Static can also be used on a class to denote that the entire class is comprised only of static methods, properties, and fields.
There is no equivelent to static variables within a function scope, or non-class scoped static values.
Edit:
In reponse to your edit, C# basically only uses static for class members. Globals and local static function variables are not supported in C#. In addition, as I mentioned above, you can flag an entire class "static", which basically just makes the compiler check that there are no non-static members in the class.