RESTful url to GET resource by different fields

You should only use one URI to refer to a single resource. Having multiple URIs will only cause confusion. In your example, confusion would arise due to two people having the same name. Which person resource are they referring to then?

That said, you can have multiple URIs refer to a single resource, but for anything other than the "true" URI you should simply redirect the client to the right place using a status code of 301 - Moved Permanently.

Personally, I would never implement a multi-ID scheme or redirection to support it. Pick a single identification scheme and stick with it. The users of your API will thank you.

What you really need to build is a query API, so focus on how you would implement something like a /personFinder resource which could take a name as a parameter and return potentially multiple matching /person/{ID} URIs in the response.