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Jun 12, 2010 at 18:04 answer added coudy timeline score: 7
Nov 6, 2009 at 18:07 answer added David Eppstein timeline score: 4
Nov 6, 2009 at 17:33 comment added HJRW Now I'm just confused about the quantifiers. Is the question "does every surface in R^3 have a closed geodesic?" or "does every surface in R^3 have an infinite geodesic?", or even "does every surface in R^3 have an infinite non-self-intersecting geodesic?"?
Nov 6, 2009 at 15:57 answer added TerronaBell timeline score: 1
Nov 6, 2009 at 12:34 history edited Tyler Lawson
edited tags
Nov 6, 2009 at 8:32 answer added Aaron Mazel-Gee timeline score: 3
Nov 6, 2009 at 8:28 history edited Mensen CC BY-SA 2.5
Cleaned up, clarified title
Nov 6, 2009 at 8:12 history edited Mensen CC BY-SA 2.5
Made clarifications/proper terminology changes w/ ass. from Henry Wilton
Nov 6, 2009 at 7:57 comment added Mensen Henry - yes, and yes. This was poorly written and thought out on my end.
Nov 6, 2009 at 7:56 vote accept Mensen
Nov 6, 2009 at 5:45 answer added S. Carnahan timeline score: 6
Nov 6, 2009 at 5:40 comment added HJRW I presume you want your surface to be compact? Also, when you say "the ant will walk along the curvature of the surface", do you mean that it follows a local geodesic?
Nov 6, 2009 at 5:01 comment added Mensen I very strongly suspect the answer is 'no' for arbitrary positioning or arbitrary orientation. I should have thought a bit more before asking this...
Nov 6, 2009 at 4:57 history edited Mensen CC BY-SA 2.5
deleted 22 characters in body
Nov 6, 2009 at 4:52 history asked Mensen CC BY-SA 2.5