Araujo, José; Keilhauer, Guillermo Natural tensor fields of type \((0,2)\) on the tangent and cotangent bundles of a Fedosov manifold. (English) Zbl 1109.53031 Balkan J. Geom. Appl. 11, No. 2, 11-19 (2006). Summary: To any \((0,2)\)-tensor field on the tangent and cotangent bundles of a Fedosov manifold, we associate a global matrix function ‘mutatis mutandis’ as in the semi-Riemannian case. Based on this fact, natural \((0,2)\)-tensor fields on these bundles are defined and characterized. MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C55 Global differential geometry of Hermitian and Kählerian manifolds Keywords:connection map; tangent bundle PDFBibTeX XMLCite \textit{J. Araujo} and \textit{G. Keilhauer}, Balkan J. Geom. Appl. 11, No. 2, 11--19 (2006; Zbl 1109.53031) Full Text: EuDML