Gauss-Codazzi tensor fields and the Bonnet immersion theorem.

We study the existence of a skew Killing spinor on 2- and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.

On horizontal and complete lifts from a manifold with $f_{λ} (7, 1)$ -structure to its cotangent bundle.

Das, Lovejoy S., Nivas, Ram, Nath Pathak, Virendra (2005)

International Journal of Mathematics and Mathematical Sciences

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Tensor fields of type (0,2) on linear frame bundles and cotangent bundles

Guillermo G. R. Keilhauer (2000)

Rendiconti del Seminario Matematico della Università di Padova

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