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Apr
8 |
answered | Generalized Dirac operators |
Apr
6 |
comment |
Very stable vector bundles
Note that the nilpotent Higgs field $Phi$ gives rise to a holomorphic map $$L^*=E/L\to LK,$$ hence a section of $H^0(X;L^2K).$ |
Apr
6 |
answered | Very stable vector bundles |
Mar
12 |
awarded | Yearling |
Mar
10 |
comment |
Possible directions of saddle connections
"K. STREBEL,Quadratic Differentials, Ergeb. Math. Grenzgeb. 5, Springer-Verlag, Berlin, 1984." is a good starting point for you to read about general results in that direction. |
Feb
22 |
revised |
A question about flat connection
added 554 characters in body |
Feb
21 |
answered | A question about flat connection |
Feb
8 |
answered | What is the correct generalization of the Wirtinger derivatives to arbitrary Clifford algebras? |
Jan
25 |
comment |
Is there a complete classification of constant mean curvature surfaces?
Dear Glen, you are very welcome. |
Jan
25 |
revised |
Deligne-Hitchin twistor space
added 11 characters in body |
Jan
25 |
asked | Deligne-Hitchin twistor space |
Jan
21 |
answered | Is there a complete classification of constant mean curvature surfaces? |
Jan
21 |
revised |
Upper bound for Willmore energy
added 1 character in body |
Jan
20 |
answered | Upper bound for Willmore energy |
Jan
14 |
answered | Constant Harmonic Mean surfaces |
Dec
18 |
awarded | Civic Duty |
Oct
16 |
answered | A question about curvature for linear connections |
Oct
10 |
comment |
Tori in three-space
Yes. You can make non-geodesic elastic curves in the 2-sphere which oscillate around a great circle. They have enclosed area which is equal to the area of the hemisphere, but the lenght is strictly greater than the lenght of the great circle. Thus, Pinkall's formula for the conformal type implies, that you obtain a rhombic, non-square torus. The existence of these elastic curves follows from theorem 3 in arxiv.1303.1445. |
Sep
30 |
comment |
Equivalence of Harmonic Maps and Conformal Maps on Genus-0 closed surfaces
Dear Skrodde, you are welcome. |
Sep
28 |
answered | compact almost complex submanifolds of complex Lie groups |