bio | website | |
---|---|---|
location | Stony Brook | |
age | ||
visits | member for | 3 years, 1 month |
seen | 20 hours ago | |
stats | profile views | 256 |
Studying physics, but very interested in geometry and topology.
Jul 2 |
awarded | Curious |
May 30 |
asked | Local behavior of Killing spinor on Sasaki-Einstein Manifold |
May 26 |
comment |
Single-valueness of spinor components
I agree that a global trivialization should not be assumed. But in this particular case, the spin bundle is an $SU(2)$-vector bundle and $\pi_2(SU(2))$ implies the spin bundle is trivial. I think what's wrong in the above is that the region $(\theta \in (0, \pi))$ (where the frame is well defined ) is not a contractible open set. But I am not sure. |
May 25 |
asked | Single-valueness of spinor components |
May 22 |
awarded | Nice Question |
May 10 |
answered | How to prove this Weitzenbock formula? |
May 9 |
comment |
How to prove this Weitzenbock formula?
@HenryT.Horton: (4.14) is for $\Omega^{0,0}(E)$. I managed to prove (4.14), but not the one I am confused about. |
May 8 |
revised |
How to prove this Weitzenbock formula?
explain the notation |
May 8 |
revised |
How to prove this Weitzenbock formula?
added 68 characters in body |
May 8 |
revised |
How to prove this Weitzenbock formula?
deleted 127 characters in body |
May 8 |
asked | How to prove this Weitzenbock formula? |
May 4 |
comment |
Factor of 2 In the Definition of Metric Contact Structure
I agree with Brendan on the two definitions of $d$: I found at the bottom of page 62, Blair wrote down $d\eta$ formula. I feel that a clear list of convention should be provided at the very beginning of the book. Thanks! |
May 4 |
accepted | Factor of 2 In the Definition of Metric Contact Structure |
Apr 20 |
asked | Factor of 2 In the Definition of Metric Contact Structure |
Apr 13 |
comment |
3d-analog of “every 2d oriented manifold is complex”
Thanks for replying and the algebra is quite interesting. But as you stated it's not an analog I'm looking for. Hope there will be some other suggestions. |
Apr 9 |
revised |
3d-analog of “every 2d oriented manifold is complex”
added 5 characters in body |
Apr 9 |
revised |
3d-analog of “every 2d oriented manifold is complex”
added 118 characters in body |
Apr 9 |
asked | 3d-analog of “every 2d oriented manifold is complex” |
Apr 9 |
revised |
a section invariant under Reeb flow
Explain what is meant for a Lie-derivative on a section |
Apr 9 |
revised |
a section invariant under Reeb flow
Explain what is meant for a Lie-derivative on a section |