|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Lagrange-Ricci Flows and Evolution of Geometric Mechanics Analogous Gravity on Lie Algebroids | | Sergiu I. Vacaru
; | | Date: |
22 Aug 2011 | | Abstract: | The approach to nonholonomic Ricci flows and geometric evolution of regular
Lagrange systems [S. Vacaru: J. Math. Phys. 49 (2008) 043504 & Rep. Math. Phys.
63 (2009) 95] is extended to include geometric mechanics and gravity models on
Lie algebroids. We prove that such evolution scenarios of geometric mechanics
and analogous gravity can be modeled as gradient flows characterized by
generalized Perelman functionals if an equivalent geometrization of Lagrange
mechanics [J. Kern, Arch. Math. (Basel) 25 (1974) 438] is considered. The R.
Hamilton equations on Lie algebroids describing Lagrange-Ricci flows are
derived. Finally, we show that geometric evolution models on Lie algebroids is
described by effective thermodynamical values derived from statistical
functionals on prolongation Lie algebroids. | | Source: | arXiv, 1108.4333 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER