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Jun
25
comment Decomposition of a closed surface
yes I mean homotopy. have you a reference for the pants decomposition? because I need minimizing representant without intersection... who is Shepard?Thx
Jun
24
comment Decomposition of a closed surface
Thanks for the answer. Can you give me more references. Notably,about the theorem you invoke. it is not totally clear to me since an homology class is like a open cylinder, and without the negative curvature assumption, perhaps the minimum is not achieved? And I didn't also find a Shepard at UCB... Thanks again for your help!!
Jun
24
asked Decomposition of a closed surface
May
25
awarded  Critic
May
25
comment Spherical cap is the only compact constant mean curvature surface bounded by a circle
It is classical to prove that there is only a one parameter family of CMC of revolution: the delaunay surface's. But only one closes up... the sphere.
May
19
answered extension of the projectivized gradient of a harmonic function
Mar
24
answered Control of the metric in isothermal coordinates
Feb
2
accepted Besse p134 Riemann tensor in dimension 4
Feb
2
awarded  Yearling
Jan
27
awarded  Custodian
Jan
27
reviewed Approve Besse p134 Riemann tensor in dimension 4
Jan
27
asked Besse p134 Riemann tensor in dimension 4
Sep
7
comment Branch point and alexandrov embeddedness
yes, in my older post it was about locally immersed surfaces, here it is globally Alexandrov embedded.
Sep
6
asked Branch point and alexandrov embeddedness
Jul
2
awarded  Curious
Jun
12
asked Singularities in Yang Mills Flow
Mar
18
revised Probabilistic Interpretation of First Dirichlet Eigenvalue?
added 306 characters in body
Mar
17
answered Probabilistic Interpretation of First Dirichlet Eigenvalue?
Feb
28
asked quantitative version of the rigidity of the 2-sphere
Sep
6
comment Nice applications of the spectral theorem?
have you a precise reference?