Timeline for Can a Lagrangian submanifold of ${\mathbb R}^{2n}$ be dense ($n>1$)?

11 events

when toggle format	what		by	license	comment
Jan 18, 2012 at 14:29	vote	accept	Richard Montgomery
Jan 17, 2012 at 17:16	comment	added	j.c.		@Giuseppe, Richard Montgomery: I fixed the link. It seems one must include the "http://" for links to work properly.
Jan 17, 2012 at 17:15	history	edited	j.c.	CC BY-SA 3.0	fix link
Jan 17, 2012 at 13:12	comment	added	BS.		Why not take the product of $n$ 1-dimensional examples in $\mathbb R^{2n}=(\mathbb R^2)^n$ ?
Jan 17, 2012 at 12:53	answer	added	Jorge Vitório Pereira		timeline score: 1
Jan 17, 2012 at 12:38	answer	added	Robert Bryant		timeline score: 22
Jan 17, 2012 at 8:46	comment	added	agt		@S. Carnahan In the original post of Richard Montgomery there should be a link to a paper of Panov. Because for some reason it is missing and I have not enough reputation to edit it, would you make it a real link. Thank you. It is: www2.imperial.ac.uk/~dpanov/TORUS.PDF
Jan 17, 2012 at 7:21	history	edited	S. Carnahan♦		tags
Jan 17, 2012 at 5:06	comment	added	Theo Johnson-Freyd		I assume you want also some connectivity conditions. I don't know precisely which version of "manifold" you use, but presumably I can draw a half-space parallel to the first $n$ axes, through every point with totally rational coordinates. This is an immersion of countably many disjoint copies of $\mathbb R^n$. But I'm sure this is not what you want.
Jan 17, 2012 at 4:59	history	edited	Richard Montgomery	CC BY-SA 3.0	added 4 characters in body; edited title
Jan 17, 2012 at 4:51	history	asked	Richard Montgomery	CC BY-SA 3.0