Bibliography
Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry, Vol. 1, Interscience, New York, 1963.
Ledger, A.J. and Yano, K., ‘Almost Complex Structures on Tensor Bundles’, Jour. Diff. Geom. 1, 355–368 (1967).
Mok, K.P., ‘Complete Lifts of Tensor Fields and Connections to the Frame Bundle’, to appear in Proc. Lond. Math. Soc.
Okubo, T., ‘On the Differential Geometry of Frame Bundles’, Ann. Mat. Pura Appl. 72, 29–44 (1966).
Sasaki, S., ‘On the Differential Geometry of Tangent Bundles of Riemannian Manifolds’, Tôhoku Math. Jour. 10, 338–354 (1958).
Yano, K. and Ishihara, S., ‘Horizontal Lifts of Tensor Fields and Connections to Tangent Bundles’, Jour. Math. Mech. 16, 1015–1029 (1967).
Yano, K. and Kobayashi, S., ‘Prolongations of Tensor Fields and Connections to Tangent Bundles. I’, Jour. Math. Soc. Japan 18, 194–210 (1966).
Yano, K. and Patterson, E.M., ‘Vertical and Complete Lifts from a Manifold to its Cotangent Bundle’, Jour. Math. Soc. Japan 19, 91–113 (1967).
Yano, K. and Paterson, E.M., ‘Horizontal Lifts from a Manifold to its Cotangent Bundle’, Jour. Math. Soc. Japan 19, 185–198 (1967).
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Mok, KP. Lifts of vector fields to tensor bundles. Geom Dedicata 8, 61–67 (1979). https://doi.org/10.1007/BF00147931
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DOI: https://doi.org/10.1007/BF00147931