The dark green frilly bits either side of the helm.

Mantling is the flowing strips of cloth that fly from the wreath in a coat-of-arms.

Cloth trapping hanging from below the crest, and usually covering the back of the helm.

the tattered helmet cloth of the knight which is fancifully draped on the shield in points and dags.

cloth decor suspended from a helmet, commonly illustrated in armorial artwork

In heraldry, mantling or lambrequin is drapery tied to the helmet above the shield. It forms a backdrop for the shield. In paper heraldry it is a depiction of the protective cloth covering (often of linenhttp://www.britannica.com/eb/article?tocId=8827 Enciclopaedia Britannica - Mantling) worn by knights from their helmets to stave off the elements, and, secondarily, to decrease the effects of sword-blows against the helmet in battle, from which it is usually shown tattered or cut to shreds; less often it is shown as an intact drape, principally in those cases where a clergyman uses a helmet and mantling (to symbolise that, despite the perhaps contradictory presence of the helmet, the clergyman has not been involved in combat).