To create links correctly in CuteEditor, you need to use Editor.URLType Property and URLType Enumeration.

Editor.URLType Property

Specify whether the URL should be converted to a site root relative path (/html/images/image1.gif) or an absolute path (http://www.mysite.com/images/image1.gif).

URLType Enumeration

Member Name	Description
Default	The URL is not converted.
SiteRelative	The URL is converted into a site root relative path. A site root relative path describes the location of the destination file by describing the route the browser must take from the Web site's root folder (top level in the folder structure). For example, a site root-relative path to an image may appear as: /html/images/image1.gif
Absolute	The URL is converted into an absolute path. An absolute path describes the physical location of a file on a machine or the exact location of a file on the Internet. An absolute path on your hard drive might appear as: An absolute path might appear as: http://www.mysite.com/images/image1.gif