You can use the SetWindowLong function (http://msdn.microsoft.com/en-us/library/ms633591(VS.85).aspx).
[DllImport("user32.dll", SetLastError = true)]
private static extern int GetWindowLong(IntPtr hWnd, int nIndex);
[DllImport("user32.dll")]
private static extern int SetWindowLong(IntPtr hWnd, int nIndex, int dwNewLong);
int GwlStyle = -16; // GWL_STYLE
int WsSysMenu = 0x80000; // WS_POPUP
var hwnd = new WindowInteropHelper(this).Handle;
SetWindowLong(hwnd, GwlStyle, GetWindowLong(hwnd, GwlStyle) & ~WsSysMenu);
Check the above link for more information about what the values of GwlStyle and WsSysMenu indicate. This will style the window to be a popup window. However, this also removes the close, maximize, and minimize buttons from the top-right.