Geometric flow on compact locally conformally Kahler manifolds
| dc.creator | Kamishima, Y. | |
| dc.creator | Ornea, L. | |
| dc.date | 2001-05-05 | |
| dc.date | 2002-07-17 | |
| dc.date.accessioned | 2026-07-07T04:41:36Z | |
| dc.date.available | 2026-07-07T04:41:36Z | |
| dc.description | We study two kinds of transformation groups of a compact locally conformally Kahler (l.c.K.) manifold. First we study compact l.c.K. manifolds with parallel Lee form by means of the existence of a holomorphic l.c.K. flow. Next, we introduce the Lee-Cauchy-Riemann (LCR) transformations as a class of diffeomorphisms preserving the specific G-structure of l.c.K. manifolds. We show that compact l.c.K. manifolds admitting a non-compact CC^* flow of LCR transformations are rigid: it is holomorphically conformal to a Hopf manifold with parallel Lee form. | |
| dc.description | Latex; New version of math.DG/0105040 | |
| dc.identifier | https://arxiv.org/abs/math/0105040 | |
| dc.identifier | http://arxiv.org/abs/math/0105040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61428 | |
| dc.subject | Differential Geometry | |
| dc.title | Geometric flow on compact locally conformally Kahler manifolds | |
| dc.type | text |