The Holomorphic Sectional Curvature of General Natural KÄhler Structures on Cotangent Bundles

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dc.creatorDruta, S. L.
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:46Z
dc.date.available2026-07-07T10:08:46Z
dc.descriptionWe study the conditions under which a Kählerian structure $(G,J)$ of general natural lift type on the cotangent bundle $T^*M$ of a Riemannian manifold $(M,g)$ has constant holomorphic sectional curvature. We obtain that a certain parameter involved in the condition for $(T^*M,G,J)$ to be a Kählerian manifold, is expressed as a rational function of the other two, their derivatives, the constant sectional curvature of the base manifold $(M,g)$, and the constant holomorphic sectional curvature of the general natural Kählerian structure $(G,J)$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0810.1652
dc.identifierhttp://arxiv.org/abs/0810.1652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171109
dc.subjectDifferential Geometry
dc.subject53C55, 53C15, 53C07
dc.titleThe Holomorphic Sectional Curvature of General Natural KÄhler Structures on Cotangent Bundles
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