public sealed class FileGeodatabaseConnectionPath : Connector 

// Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to create
FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath = 
  new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

// Create and use the file geodatabase
using (Geodatabase geodatabase = 
  SchemaBuilder.CreateGeodatabase(fileGeodatabaseConnectionPath))
{
  // Create additional schema here
}

// Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to delete
FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath = new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

// Delete the file geodatabase
SchemaBuilder.DeleteGeodatabase(fileGeodatabaseConnectionPath);