Timeline for Does there exist a leaf of this holomorphic foliation with non trivial holonomy?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 18, 2018 at 12:56 | comment | added | Ali Taghavi | @AlexM. Thank you for your comment. I do not see any edit on this post. may be you are talking on some other post. I am sorry if I did needles edit but i belive "needless" is not absolute concept, it is a relative concept. Any way i had a suggestion for bumping MINOR (but not necessarily needless) edits to the main page. Please reed he following meta post meta.mathoverflow.net/questions/2749/… | |
| Jun 18, 2018 at 12:01 | comment | added | Alex M. | @AliTaghavi: Lately, you have been performing a lot of minor needless edits on old, inactive posts, with a low view count. This bumps them to the main page, a thing that MO users don't like. Please stop doing this. | |
| Jun 16, 2018 at 13:57 | comment | added | Tom Goodwillie | This seems like an unrelated question, now, but yes: let $u=e^ycosx$, let $v=e^ysinx $, let the metric be $ds^2=du^2+dv^2$. | |
| Jun 16, 2018 at 10:45 | comment | added | Ali Taghavi | @TomGoodwillie I am sorry if I change my question on this system as follows: let's consider the same $1$-form but as a real form on $\mathbb{R}^2$. Is there a Riemannian metric on $\mathbb{R}^2$ such that the foliation would be foliation by geodesic? | |
| Jun 15, 2018 at 14:35 | comment | added | Tom Goodwillie | On the contrary, for each complex number $a$ such that $cos a=0$ there is the leaf $x=a$, but each other leaf is the graph of a branch of the function $y=-log(cos x)$, and is therefore an infinite cyclic cover of the set of all $x\in\mathbb C$ such that $cos x\neq 0$. | |
| Jun 15, 2018 at 13:39 | comment | added | Ali Taghavi | @TomGoodwillie Thank you. Is it obvious that the connected components of level sets correspond to non zero values $c\neq 0$ are diffeomorphic to $\mathbb{C}$? | |
| Jun 15, 2018 at 13:18 | comment | added | Tom Goodwillie | No and no. The leaves are the level sets of the function $e^ycosx$. | |
| Jun 15, 2018 at 10:11 | history | asked | Ali Taghavi | CC BY-SA 4.0 |