MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).

Dan Lee

433
Reputation
353 views
Is this your account?

Registered User 

Name Dan Lee
Member for 3 years
Seen Apr 4 at 21:58
Website
Location New York
Age
geometric analyst
Apr
2
comment Different notions of geodesics.
This should be in most Riemannian geometry textbooks. The first implies the second by first variation of length (or energy), while the second implies the first via existence of convex neighborhoods (With Gauss Lemma being the important ingredient).
Apr
2
answered Difference between parallel transport and derivative of the exponential map