Remark on a conjecture of conformal transformations of Riemannian manifolds
| dc.creator | Chouikha, A. Raouf | |
| dc.date | 2004-12-17 | |
| dc.date.accessioned | 2026-07-07T05:15:23Z | |
| dc.date.available | 2026-07-07T05:15:23Z | |
| dc.description | Ejiri gave a negative answer to a conjecture of Lichnerowicz concerning Riemannian manifolds with constant scalar curvature admitting an infinitesimal non isometric conformal transformation. With this aim he constructed a warped product of a circle of lenght $T$ and a compact manifold. But he omitted in his analysis the condition that $T$ must to be big enough. Here we give an explicit sharp bound $T_0 < T$ that will make the proof complete. Our presentation is self-contained and mainly uses bifurcation techniques. Moreover, we show that there are other such examples and contribute some results to the classification of these manifolds. | |
| dc.description | 7 pages. to appear in Rendiconti del Circolo Mat. di Palermo | |
| dc.identifier | https://arxiv.org/abs/math/0412341 | |
| dc.identifier | http://arxiv.org/abs/math/0412341 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73614 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C21, 53C25, 58G30 | |
| dc.title | Remark on a conjecture of conformal transformations of Riemannian manifolds | |
| dc.type | text |