“I appreciate the response but my questions is geared towards those who have a mac mini with an external monitor. I have a late 2013 27" imac and may upgrade to a mac mini later this year and trying to decide which curved external monitor is best compatible with the mac mini.”
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Curved Monitors for a Mac mini:
A. Provide your Model Number:
Okay. So, what’s model of your monitor? If you provide that, you might be an answer.
B. What Monitor Would Work?
Apple does not make specifically curved monitors for the Mac mini. As for curved monitors that are of Dell brand, according to Bing, these would work.***
Here is a link found directly from these forums; it’s intended for a MBP, but the monitor provided is may outdo the capability, if you don’t you have the appropriate cables for it: What are the best budget curved monitors for MacBook Pro? - Apple Community
***Screenshot:

C. Best Use for a Curved Monitor:
As for the use of a curved monitor, those are best used in the corner of the room or of a desk because they would not gather heat as greatly as a flat monitor would.