|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The asymptotic behavior of the monodromy representations of the associated families of compact CMC surfaces | | Sebastian Heller
; | | Date: |
4 May 2015 | | Abstract: | Constant mean curvature (CMC) surfaces in space forms can be described by
their associated $mathbb C^*$-family of flat $SL(2,mathbb C)$-connections
$
abla^lambda$. In this paper we consider the asymptotic behavior (for
$lambda o0$) of the gauge equivalence classes of $
abla^lambda$ for compact
CMC surfaces of genus $ggeq2.$ We prove (under the assumption of simple
umbilics) that the asymptotic behavior of the traces of the monodromy
representation of $
abla^{lambda}$ determines the conformal type as well as
the Hopf differential locally in the Teichm"uller space. | | Source: | arXiv, 1505.0747 | | 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