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Literature Cited
R. Palais, Foundations of Global Non-Linear Analysis, Benjamin, New York (1968).
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Interscience, New York (1963).
D. E. Blair, “On the set of metrics associated to a symplectic or contact form,” Bull. Inst. Math. Acad. Sinica,11, 297–308 (1983).
D. Ebin, “The manifold of Riemannian metrics,” Proc. Symp. Pure Math. (Amer. Math. Soc.),15, 11–40 (1970).
T. Ratiu and R. Schmid, “The differentiable structure of three remarkable diffeomorphism groups,” Math. Z.,177, 81–100 (1981).
A. F. Solov'ev, “The curvature of a distribution,” Mat. Zametki,35, No. 1, 111–123 (1984).
N. K. Smolentsev, “Orthogonal decompositions of the space of symmetric tensors on an almost Kaehler manifold,” Sib. Mat. Zh.,30, No. 3, 131–139 (1989).
M. Berger and D. Ebin, “Some decompositions of the space of symmetric tensors on a Riemannian manifold,” J. Different. Geom.,3, No. 3, 379–392 (1969).
Additional information
Kemerovo. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 1, pp. 132–139, January–February, 1992.
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Smolentsev, N.K. Curvature of the space of associated metrics on a symplectic manifold. Sib Math J 33, 111–117 (1992). https://doi.org/10.1007/BF00972942
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DOI: https://doi.org/10.1007/BF00972942