The Ricci tensor of an almost homogenous Kaehler manifold
| dc.creator | Spiro, Andrea | |
| dc.date | 2001-01-21 | |
| dc.date.accessioned | 2026-07-07T04:39:44Z | |
| dc.date.available | 2026-07-07T04:39:44Z | |
| dc.description | We determine an explicit expression for the Ricci tensor of a K-manifold, that is of a compact Kaehler manifold M with vanishing first Betti number, on which a semisimple group G of biholomorphic isometries acts with an orbit of codimension one. We also prove that the Kaehler form and the Ricci form of M are uniquely determined by two special curves with values in g = Lie(G), say Z, Z': R \to g = Lie(G) and we show how the curve Z' is determined by the curve Z. These results are used in another work with F. Podesta', where new examples of non-homogeneous compact Kaehler-Einstein manifolds with positive first Chern class are constructed. | |
| dc.identifier | https://arxiv.org/abs/math/0101172 | |
| dc.identifier | http://arxiv.org/abs/math/0101172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60790 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.subject | 53C55; 53C25; 57S15 | |
| dc.title | The Ricci tensor of an almost homogenous Kaehler manifold | |
| dc.type | text |