A Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold
| dc.creator | Oproiu, Vasile | |
| dc.creator | Porosniuc, Dumitru Daniel | |
| dc.date | 2003-08-15 | |
| dc.date.accessioned | 2026-07-07T05:00:25Z | |
| dc.date.available | 2026-07-07T05:00:25Z | |
| dc.description | We use the natural lifts of the fundamental tensor field g to the cotangent bundle T*M of a Riemannian manifold (M,g), in order to construct an almost Hermitian structure (G,J) of diagonal type on T*M. The obtained almost complex structure J on T*M is integrable if and only if the base manifold has constant sectional curvature and the second coefficient, involved in its definition is expressed as a rational function of the first coefficient and its first order derivative. Next one shows that the obtained almost Hermitian structure is almost Kaehlerian. Combining the obtained results we get a family of Kaehlerian structures on T*M, depending on one essential parameter. Next we study the conditions under which the considered Kaehlerian structure is Einstein. In this case (T*M,G,J) has constant holomorphic curvature. | |
| dc.description | 16 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/0308149 | |
| dc.identifier | http://arxiv.org/abs/math/0308149 | |
| dc.identifier | An. St. Univ. " Al.I.Cuza " Iasi, 49 (2003), s.I a, Matematica, f2, 399-414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68323 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C07, 53C15, 53C55 | |
| dc.title | A Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold | |
| dc.type | text |