Timeline for Exponential map and covariant derivative
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 10, 2010 at 6:10 | answer | added | Dick Palais | timeline score: 12 | |
| May 10, 2010 at 13:34 | answer | added | Ben Whale | timeline score: 4 | |
| May 2, 2010 at 3:42 | comment | added | BCnrd | By a "covariant derivative" on a manifold, do you mean covariant derivative operator arising from choice of (pseudo-)Riemannian metric? That operator on "vector fields along parametric curves" can be expressed in terms of the Levi-Civita connection, and any connection on any vector bundle gives a "covariant derivative" operator on sections along parametric curves, which in turn uniquely determines the connection. So it is more natural to speak of an exponential map associated to a connection on the tangent bundle (such as L-C arising from a metric). Now go to Wikipedia for "exponential map". | |
| May 2, 2010 at 3:03 | history | asked | Lian | CC BY-SA 2.5 |