Cotangent Bundles with General Natural Kahler Structures

Simple item page
dc.creatorDruta, S. L.
dc.date2008-10-08
dc.date.accessioned2026-07-07T10:08:28Z
dc.date.available2026-07-07T10:08:28Z
dc.descriptionWe study the conditions under which an almost Hermitian structure $(G,J)$ of general natural lift type on the cotangent bundle $T^*M$ of a Riemannian manifold $(M,g)$ is K\" ahlerian. First, we obtain the algebraic conditions under which the manifold $(T^*M,G,J)$ is almost Hermitian. Next we get the integrability conditions for the almost complex structure $J$, then the conditions under which the associated 2-form is closed. The manifold $(T^*M,G,J)$ is K\" ahlerian iff it is almost Kahlerian and the almost complex structure $J$ is integrable. It follows that the family of Kahlerian structures of above type on $T^*M$ depends on three essential parameters (one is a certain proportionality factor, the other two are parameters involved in the definition of $J$).
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0810.1366
dc.identifierhttp://arxiv.org/abs/0810.1366
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171007
dc.subjectDifferential Geometry
dc.subject53C07, 53C15, 53C55
dc.titleCotangent Bundles with General Natural Kahler Structures
dc.typetext

Files

Collections

arXiv