A circle quotient of a $G_2$ cone
| dc.contributor.author | Acharya, Bobby Samir | |
| dc.contributor.author | Bryant, Robert L | |
| dc.contributor.author | Salamon, Simon | |
| dc.date.accessioned | 2019-11-01T13:18:56Z | |
| dc.date.available | 2019-11-01T13:18:56Z | |
| dc.date.updated | 2019-11-01T13:18:55Z | |
| dc.description.abstract | A study is made of $R^6$ as a singular quotient of the conical space $R^+\times CP^3$ with holonomy $G_2$ with respect to an obvious action by $U(1)$ on $CP^3$ with fixed points. Closed expressions are found for the induced metric, and for both the curvature and symplectic 2-forms characterizing the reduction. All these tensors are invariant by a diagonal action of $SO(3)$ on $R^6$, which can be used effectively to describe the resulting geometrical features. | |
| dc.identifier.uri | ||
| dc.subject | math.DG | |
| dc.subject | math.DG | |
| dc.subject | 53C25 (Primary) 53C28, 53C38, 81T30 (Secondary) | |
| dc.title | A circle quotient of a $G_2$ cone | |
| dc.type | Journal article | |
| duke.contributor.orcid | Bryant, Robert L|0000-0002-4890-2471 | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics |
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