Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with connections
Search options answers only
not deleted
user 20302
Ehresmann connections; covariant derivatives; connections on vector bundles, principal bundles, ∞-bundles, submersions, bundle gerbes; holonomy and higher holonomy; parallel transport; torsion; curvature. See also the tags [principal-bundles], [vector-bundles], [gerbes], [curvature], [geodesics], [characteristic-classes], [torsion].
7
votes
Accepted
The purpose of connections in differential geometry
The instantons are simply connections with minimal "energy". …
- 34.7k
11
votes
Why is it important that partial derivatives commute?
Here is another way of obtaining the Christoffel symbols with the symetry imposed by the torsion free condition
$$ \Gamma^i_{k\ell}=\Gamma^i_{\ell k}. $$
This goes back to Riemann's Habillitation. …
- 34.7k
5
votes
A geometric interpretation of the Levi-Civita connection?
The Levi-Civita connection is locally described by the Christoffel symbols. How does one obtain these in a natural fashion: write the Euler-Lagrange for the length functional. The extremals of thi …
- 34.7k
5
votes
Accepted
Terminology of "covariant derivative" and various "connections"
As I understand it, the "covariant"
part of this comes from the fact that
the T∗M component changes covariantly
under coordinate changes and not how
the E component changes. Is this
corre …
- 34.7k