Constant scalar curvature metrics with isolated singularities
| dc.creator | Mazzeo, Rafe | |
| dc.creator | Pacard, Frank | |
| dc.date | 1996-05-14 | |
| dc.date.accessioned | 2026-07-07T09:12:46Z | |
| dc.date.available | 2026-07-07T09:12:46Z | |
| dc.description | We extend the results and methods of \cite{MP} to prove the existence of constant positive scalar curvature metrics $g$ which are complete and conformal to the standard metric on $S^N \setminus Λ$, where $Λ$ is a disjoint union of submanifolds of dimensions between 0 and $(N-2)/2$. The existence of solutions with isolated singularities occupies the majority of the paper; their existence was previously established by Schoen \cite{S}, but the proof we give here, based on the techniques of \cite{MP}, is more direct, and provides more information about their geometry. When $Λ$ is discrete we also establish that these solutions are smooth points in the moduli spaces of all such solutions introduced and studied in \cite{MPU1} and \cite{MPU2} | |
| dc.description | Latex2e, 48 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9605004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9605004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152134 | |
| dc.subject | Differential Geometry | |
| dc.title | Constant scalar curvature metrics with isolated singularities | |
| dc.type | text |