Timeline for Is there a contact instanton connection on the tangent bundle of the 5-sphere?
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| Dec 7, 2021 at 9:35 | comment | added | Eric Arnéo Vespira Kengne | In any case, I am convinced that the the (possibly generalized) theory of penrose twinsters has everything to do with any special structure on a given manifold.\br A major example (from my point of view) is the recent archive [2] of C. Lebrun on purely geometric proof of the existence of a $ Spin^c$ structure on any closed manifold of real dimension 4. \br [1] Arxiv: 1704.07464v2.\br [2] Arxiv: 2108.01739v1. | |
| Dec 7, 2021 at 9:35 | comment | added | Eric Arnéo Vespira Kengne | Hello dear @David Roberts. It seems to me (in fact, I am convinced of it, but, not having looked seriously at on the problem, I can only speak with some reserve), by somewhat identifying $\mathbb {S} ^ 5$ to a compactification of the submanifold $\mathcal {P} \mathcal {N} $ of the twistor space $ \mathbb {P} \mathbb {T} $ of the compactification of the Minkowski'space (notations of [1]), this could bring some light to the problem you ask. | |
| Oct 8, 2020 at 5:53 | history | asked | David Roberts♦ | CC BY-SA 4.0 |