You remember the Riemannian... its just the tangent space that looks flat... the curvature starts after a few moves

but you won't realize it... since life will still be on a flat tangent space... --my wife

Whenever it wants, the past can come kicking the door down. And you never know where it's going to take you. All you can do is hope it's a place you want to go. - Hearts in Atlantis (2001)