A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space form

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68376We obtain a locally symmetric Kaehler Einstein structure on the cotangent bundle of a Riemannian manifold of negative constant sectional curvature. Similar results are obtained on a tube around zero section in the cotangent bundle, in the case of a Riemannian manifold of positive constant sectional curvature. The obtained Kaehler Einstein structures cannot have constant holomorphic sectional curvature.12 pages, LaTeX2eDifferential Geometry53C07, 53C15, 53C55A locally symmetric Kaehler Einstein structure on the cotangent bundle of a space formtext