You can add location information to your Tweets, such as your city or precise location, from the web and via third-party applications. You always have the option to delete your Tweet location history. Learn more
Tbh, I really don't know what any of that means, so ¯\_(ツ)_/¯ 
In particular I don't know anything at all about holonomy...
Hahah.. the Wikipedia is pretty good.. a holonomy is essentially a measure of how “good” parallel transport is.. and there’s lots of good animations on parallel transport
Yeah, my understanding of Riemannian/semi-Riemannian stuff is weak... there's a lot of interrelated concepts I have to catch up on 
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.
Then after "walking in a circle" (i.e. 2π radians), you will actually be upside-down.
