Seiberg-Witten equations on \(R^ 8\). (English) Zbl 0882.57027
The authors point out the Seiberg-Witten equations associated to a \(\text{spin}^c\)-structure on a \(2n\)-dimensional manifold. They show that there are no nontrivial solutions of the Seiberg-Witten equations on \(\mathbb{R}^8\) with constant standard \(\text{spin}^c\)-structure.
Reviewer: I.D.Albu (Timişoara)
MSC:
| 57R57 | Applications of global analysis to structures on manifolds |
| 57R15 | Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) |
