The Fleury Cross represents faith, wisdom and chivalry when used in heraldry, and the Holy Trinity when used in a Christian context.
Fleury Cross or Floriated Cross
The Floriated Cross is a cross with arms terminating in representations of flower petals. The flower is typically a lily.
Cross names, especially for such bio-crosses, follow very loose conventions; whether in a heraldry, a Christian context or in art. For this particular one we see it described as Flory, Fleury, Fleurée, Floretty, Fleurettée, Florencé (or Fleuroncée), Fleuronny, Fleuronnée, Flourished and Foliated Cross.
To complicate things further (as heraldry often does) the shape of the Fleury Cross is very similar to the Fleur-de-lis Cross and the Patonce Cross. All these names are used interchangeably and in most cases the distinction is not important. (The Patonce Cross differs in that its end spread outwards like a Pattee Cross whereas the Fleury Cross arms do not expand.)
These crosses are used mainly in heraldry, especially in France. Fleury, with its many spelling variations, is the name given to the Côte Fleurie (Flowering Coast) in Normandy, northern France, with its bizarre tourist 'attraction' of the D-Day landing beaches.