* Hungarian mustache
* Cavalier mustache: because cavaliers often sported this type of mustache.
* Turned up mustache: This is a descriptive term rather than a formal name, but it accurately captures the style.
* Pencil mustache with upturned ends: This is more descriptive, but is another way to describe it.
The exact style could vary, but the key features are a relatively thin mustache with ends that are styled to point upwards, often with the help of wax.