Lift of Riemannian metrics to tensor bundles
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2003), pp. 51-59.

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}
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A. A. Salimov; N. Chengiz. Lift of Riemannian metrics to tensor bundles. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2003), pp. 51-59. http://geodesic.mathdoc.fr/item/IVM_2003_11_a5/

[1] Salimov A. A., “Novyi metod v teorii liftov tenzornykh polei na tenzornoe rassloenie”, Izv. vuzov. Matematika, 1994, no. 3, 69–75 | MR | Zbl

[2] Salimov A. A., “The generalized Yano-Ako operator and the complete lift of tensor fields”, Tensor. N.S. Japan, 55:2 (1994), 142–146 | MR | Zbl

[3] Salimov A. A., Magden A., “Complete lifts of tensor fields on a pure cross-section in the tensor bundle $T_q^1(M_n)$”, Note Di Matematica, 18:1 (1998), 27–37 | MR | Zbl

[4] Sasaki S., “On the differential geometry of tangent bundles of Riemannian manifolds”, Tohoku Math. J., 10 (1958), 338–354 | DOI | MR | Zbl

[5] Yano K., Ishihara S., Tangent and cotangent bundles, Marcel Dekker Inc., New York, 1973, 423 pp. | MR | Zbl

[6] Cordero L. A., Dodson C. T. J., de Leon M., Differential geometry of frame bundles, Kluwer Acad. Publ., 1989, 234 pp. | MR | Zbl

[7] Cengiz N., Salimov A. A., “Diagonal lift in the tensor bundle and its application”, Appl. Math. and Comput., 142 (2003), 309–319 | DOI | MR | Zbl

[8] Cengiz N., Salimov A. A., “Complete lifts of derivations to tensor bundles”, Bol. Soc. Mat. Mexicana, 8:3 (2002), 75–82 | MR | Zbl

[9] Ledger A., Yano K., “Almost complex structures on tensor bundles”, J. Dif. Geom., 1 (1976), 355–368 | MR

[10] Yano K., The theory of Lie derivatives and its applications, Amsterdam, 1957, 298 pp. | MR