bio | website | cvgmt.sns.it/HomePages/cm |
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location | Pisa, Italy | |
age | 44 | |
visits | member for | 3 years, 1 month |
seen | Sep 26 '13 at 16:30 | |
stats | profile views | 903 |
I am an analysis researcher at the Scuola Normale Superiore di Pisa
Jul 2 |
awarded | Curious |
Jun 1 |
awarded | Yearling |
Jun 2 |
awarded | Yearling |
May 20 |
asked | Closed geodesic loops around points in compact manifolds |
Feb 25 |
comment |
Topology of ${\mathbb R}^n$
@Sam/Wlodzimierz - After your (Sam) comment on contractibility, it seems to me that the point is exactly that... the problem can also be reduced to show that a compact $(n-1)$-dimensional submanifold embedded in ${\mathbb R}^n$ cannot be retracted (in itself) on some ${\mathbb S}^m$, with $m\leq n-2$ ($m$ is actually the dimension of the factor N minus 1). I am wondering whether the fact that the hypersurface "disconnects" ${\mathbb R}^n$ and the "final" sphere ${\mathbb S}^m$ instead does not, can be used (at least in the differential case) to get a conclusion without using (co)-homology. |
Feb 22 |
comment |
Topology of ${\mathbb R}^n$
no problem Zev |
Feb 22 |
comment |
Topology of ${\mathbb R}^n$
I had in mind something in this spirit. I was just wondering if it was possible something easier, the question came from one of my undergraduate students. |
Feb 22 |
asked | Topology of ${\mathbb R}^n$ |
Feb 5 |
comment |
analysis of the regularity using Hormander condition
Possibly, you should say in what spaces you are looking for uniqueness/regularity/continuous dependence |
Jan 29 |
comment |
Vitali sets of full outer measure
yes, exactly . |
Jan 29 |
accepted | Vitali sets of full outer measure |
Jan 29 |
comment |
Vitali sets of full outer measure
Nice answer Robert! Thanks |
Jan 29 |
asked | Vitali sets of full outer measure |
Jan 29 |
accepted | Cutlocus and conjugate points |
Jan 25 |
awarded | Commentator |
Jan 25 |
comment |
Cutlocus and conjugate points
Very interesting reference, nice paper, thanks! |
Jan 24 |
comment |
Cutlocus and conjugate points
Thanks, nice answer, I was really too optimistic... possibly, also $S^2\times S^2$ is a counterexample. Anyway, do you know a reference where I can find the description of the possible cut loci of the symmetric spaces? They should have dimension less than $n-1$ ($n$ is the dimension of the manifold). I am now asking myself if the property $Cut_p=Conj_p$ holds for $every$ point $p$ of the manifold, what can be said about this latter? |
Jan 24 |
awarded | Nice Answer |
Jan 24 |
comment |
Fattening of totally convex sets
thanks, perfect! |
Jan 24 |
asked | Cutlocus and conjugate points |