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References
N. K. Smolentsev, “On the space of associated metrics on a regular contact manifold,” Sibirsk. Mat. Zh.,31, No. 3, 176–185 (1990).
N. K. Smolentsev, “On the curvature of the space of associated metrics on a symplectic manifold,” Sibirsk. Mat. Zh.,33, No. 1, 132–139 (1992).
R. Palais, Foundation of Global Nonlinear Analysis, Benjamin, New York (1968).
D. Ebin, “The manifold of Riemannian metrics,” Proc. Symp. Pure Math. (Amer. Math. Soc.) Providence,15, 11–40 (1970).
D. S. Freed and D. Groisser, “The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group,” Michigan Math. J.,36, 323–344 (1989).
A. F. Solov'ëv, “The curvature of a distribution,” Mat. Zametki,35, No. 1, 111–123 (1984).
Additional information
Kemerovo. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 33, No. 6, pp. 188–194, November–December, 1992.
Translated by K. M. Umbetova
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Smolentsev, N.K. On the curvature of the space of associated metrics on A contact manifold. Sib Math J 33, 1119–1125 (1992). https://doi.org/10.1007/BF00971035
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DOI: https://doi.org/10.1007/BF00971035