A class of Kaehler Einstein structures on the cotangent bundle
| dc.creator | Oproiu, Vasile | |
| dc.creator | Porosniuc, Dumitru Daniel | |
| dc.date | 2004-05-14 | |
| dc.date.accessioned | 2026-07-07T05:08:16Z | |
| dc.date.available | 2026-07-07T05:08:16Z | |
| dc.description | We use some natural lifts defined on the cotangent bundle T*M of a Riemannian manifold (M,g) in order to construct an almost Hermitian structure (G,J) of diagonal type. The obtained almost complex structure J on T*M is integrable if and only if the base manifold has constant sectional curvature and the coefficients as well as their derivatives, involved in its definition, do fulfill a certain algebraic relation. Next one obtains the condition that must be fulfilled in the case where the obtained almost Hermitian structure is almost Kaehlerian. Combining the obtained results we get a family of Kaehlerian structures on T*M, depending on two essential parameters. Next we study three conditions under which the considered Kaehlerian structures are Einstein. In one of the obtained cases we get that (T*M,G,J) has constant holomorphic curvature. | |
| dc.description | 21 pages, LaTeX2e, to appear in "Publicationes Matheticae", Debrecen | |
| dc.identifier | https://arxiv.org/abs/math/0405277 | |
| dc.identifier | http://arxiv.org/abs/math/0405277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71193 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C07, 53C15, 53C55 | |
| dc.title | A class of Kaehler Einstein structures on the cotangent bundle | |
| dc.type | text |