The usual term is arrow or connector in diagramming software, but a curved one has a more specific name: a curved connector (also called a curved arrow or arc arrow). In flowchart and diagram conventions, the curved shape is a Bezier connector, since it is drawn with Bézier curves, which is how tools like draw.io, Visio and Lucidchart define it. In scientific figures, especially chemistry, a curved arrow showing the movement of electron pairs is called a curly arrow (or curved-arrow notation, used in reaction mechanisms).
So the most precise answer depends on the field: curly arrow in chemistry, curved connector or Bézier connector in software diagrams.
How do you pronounce "Bezier?"
Bézier is pronounced bez-ee-AY, with the stress on the last syllable. The French surname is , after Pierre Bézier, the engineer at Renault who popularised the curves in the 1960s. In French the accent on the first e is an é and the final ier sounds like "ee-AY". Many English speakers say "BEZ-ee-ay" too, and you'll hear both in engineering talk. Bézier
The main thing to listen for is that the stress falls on the final syllable, not the first.
