Kahler-Einstein Structures of General Natural Lifted Type on the Cotangent Bundles

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dc.creatorDruta, S. L.
dc.date2008-10-17
dc.date.accessioned2026-07-07T10:11:16Z
dc.date.available2026-07-07T10:11:16Z
dc.descriptionWe study the conditions under which the cotangent bundle $T^*M$ of a Riemaannian manifold $(M,g)$, endowed with a Kählerian structure $(G,J)$ of general natural lift type (see \cite{Druta1}), is Einstein. We first obtain a general natural Kähler-Einstein structure on the cotangent bundle $T^*M$. In this case, a certain parameter, $λ$ involved in the condition for $(T^*M,G,J)$ to be a Kählerian manifold, is expressed as a rational function of the other two, the value of the constant sectional curvature, $c$, of the base manifold $(M,g)$ and the constant $ρ$ involved in the condition for the structure of being Einstein. This expression of $λ$ is just that involved in the condition for the Kählerian manifold to have constant holomorphic sectional curvature (see \cite{Druta2}). In the second case, we obtain a general natural Kähler-Einstein structure only on $T_0M$, the bundle of nonzero cotangent vectors to $M$. For this structure, $λ$ is expressed as another function of the other two parameters, their derivatives, $c$ and $ρ$.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0810.3195
dc.identifierhttp://arxiv.org/abs/0810.3195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171810
dc.subjectDifferential Geometry
dc.subject53C55, 53C15, 53C07
dc.titleKahler-Einstein Structures of General Natural Lifted Type on the Cotangent Bundles
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