Literature Cited
L. Nicolescu and M. Martin, “Sur I'algebre assocceé a'un champ tensoriel du type (1, 2),” Acta Math. Acad. Sci. Hungaricae,31, 27–35 (1978).
I. Waisman, “Sur quelques formules du calcul de Ricci grobal,” Comment. Math. Helv.,41, No. 2, 73–87 (1966).
J.-P. Bourguignon, “The Weitzenböck formulas in dimension 4,” in: Four-Dimensional Riemannian Geometry [Russian translation], Mir, Proceedings of a Seminar by Arthur Besse, 1978–79, Moscow (1985), pp. 261–279.
I. I. Tsyganok, “The Codazzi equation of a vector field,” in: Geometry of Immersed Manifolds [in Russian], Mos. Gos. Politekh. Inst. im. V. I. Lenina, Moscow (1986), pp. 113–116.
S. V. Vedernikov, Geometry of a Space of Pairs [in Russian], Red. Zh. “Izv. Akad. Nauk BSSR,” Moscow (1980); Deposited in the All-Union Institute of Scientific and Technical Information on Feb. 25, 1980, No. 1454-80.
D. Gromoll, V. Klingenberg, and W. Meyer, Riemannian Geometry in the Large [Russian translation], Mir, Moscow (1971).
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience, New York (1969).
Additional information
Barnaul. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 190–193, September–October, 1990.
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Cheshkova, M.A. The deformation algebra associated with a Codazzi field. Sib Math J 31, 859–862 (1990). https://doi.org/10.1007/BF00974505
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DOI: https://doi.org/10.1007/BF00974505