bio | website | perso-math.univ-mlv.fr/users/… |
---|---|---|
location | Créteil | |
age | 30 | |
visits | member for | 5 years |
seen | 9 hours ago | |
stats | profile views | 1,455 |
Now at "Université Paris Est Créteil". I work in Riemannian geometry, and more specifically on Ricci flow.
Aug
20 |
revised |
Was this particular case of the tube formula known before Weyl and Hotelling?
added 106 characters in body |
Aug
19 |
revised |
Was this particular case of the tube formula known before Weyl and Hotelling?
edited tags |
Aug
19 |
revised |
Was this particular case of the tube formula known before Weyl and Hotelling?
added 19 characters in body |
Aug
19 |
asked | Was this particular case of the tube formula known before Weyl and Hotelling? |
Jul
14 |
comment |
how to determine a biquadratic form is positive-definite
Can you clarify the definition of $B$ ? In your definition, $i$ and $j$ are already used. |
Jun
11 |
answered | Gauss-Bonnet formula for 2-dimensional Alexandrov spaces |
Jun
11 |
comment |
Gauss-Bonnet formula for 2-dimensional Alexandrov spaces
Existence is known, I'm currently writing an answer about it. |
Jun
11 |
comment |
Gauss-Bonnet formula for 2-dimensional Alexandrov spaces
Actually in this context, just requiring that the curvature measure is not zero and nonnegative should be enough (which is weaker than what you require, there could be dirac masses in the curvature, think about the surface of a cube for instance). |
Jun
11 |
comment |
Gauss-Bonnet formula for 2-dimensional Alexandrov spaces
For question 2, you need to require that the curvature is not everywhere 0 to exclude the torus. |
May
1 |
awarded | Nice Answer |
Apr
30 |
awarded | Popular Question |
Apr
1 |
comment |
Shortest paths in Alexandrov spaces
@valeri why don't you make this an answer ? |
Apr
1 |
comment |
Thales Style Level Sets
I can write down an explicit formula in finite time for plane polygons, but it will be ugly... |
Mar
31 |
comment |
Thales Style Level Sets
Except the original motivation, is it that important to restrict the question to plane 2-dimensional figures ? (Actually the only sets for which I can answer the question are balls !) |
Mar
22 |
comment |
A version of isotone projection cones
What about the projection from $\mathbb{R}^2$ to $C=\{y=-x\}$, with $a=(0,2)$ and $b=(0,0)$ ? It seems to prove that the general statement you were looking for is false. |
Feb
26 |
comment |
Obstruction to the existence of global isometries on a constant-curvature Riemannian manifold
Even in the case where $M$ is simply-connected $(M,g)$ need not be an open subset of a complete constant curvature manifold: consider for instance the universal cover of an open subset of the plane with several holes. |
Feb
23 |
comment |
Existence and uniqueness of a quasi-linear pde system on a surface
May I inquire where this equation come from ? Can it be written in a more geometric fashion ? Does it encode some special properties of the 1-form $I_\alpha dx^\alpha$ ? If you manage to present your question in this way, this would help us giving you more precise answers. |
Dec
9 |
comment |
Surjectivity of “nice maps” from local properties
For your example from analysis, don't you need to assume that your map $f$ is proper ? It seems to me that the inclusion map from an open subset of $\mathbb{R}^d$ to $\mathbb{R}^d$ is a counterexample. |
Dec
3 |
revised |
Frobenius Condition for a specific first order pde
added 104 characters in body |
Dec
3 |
comment |
Frobenius Condition for a specific first order pde
My bad. This case is integrable actually. |