| Title:
|
On Jacobi fields and a canonical connection in sub-Riemannian geometry (English) |
| Author:
|
Barilari, Davide |
| Author:
|
Rizzi, Luca |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
77-92 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canonical Ehresmann connection associated to the metric, first introduced in [15]. We show why this connection is naturally nonlinear, and we discuss some of its properties. (English) |
| Keyword:
|
sub-Riemannian geometry |
| Keyword:
|
curvature |
| Keyword:
|
connection |
| Keyword:
|
Jacobi fields |
| MSC:
|
53B15 |
| MSC:
|
53B21 |
| MSC:
|
53C17 |
| idZBL:
|
Zbl 06770053 |
| idMR:
|
MR3672782 |
| DOI:
|
10.5817/AM2017-2-77 |
| . |
| Date available:
|
2017-06-09T07:49:05Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146795 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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