Carlo Mantegazza

less info
414 reputation
211
bio website cvgmt.sns.it/HomePages/cm
location Pisa, Italy
age 44
visits member for 2 years, 2 months
seen Sep 26 '13 at 16:30
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