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Siberian Mathematical Journal

, Volume 36, Issue 2, pp 359–367 | Cite as

Critical associated metrics on a symplectic manifold

  • N. K. Smolentsev
Article

Keywords

Symplectic Manifold 
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References

  1. 1.
    A. L. Besse, Einstein Manifolds. Vol. I, II [Russian translation], Mir, Moscow (1990).Google Scholar
  2. 2.
    N. K. Smolentsev, “Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold,” Sibirsk. Mat. Zh.,30, No. 3, 131–139 (1989).Google Scholar
  3. 3.
    D. E. Blair, “Critical associated metrics on contact manifolds. III,” J. Austral. Math. Soc. (Ser. A),50, 189–196 (1991).Google Scholar
  4. 4.
    D. E. Blair and S. Ianus, “Critical associated metrics on symplectic manifolds,” Contemporary Math.,51, 23–29 (1986).Google Scholar
  5. 5.
    N. K. Smolentsev, “On curvature of the space of associated metrics on a symplectic manifold,” Sibirsk. Mat. Zh.,33, No. 1, 132–139 (1991).Google Scholar
  6. 6.
    H. Omori, “Infinite dimensional Lie transformation groups,” Lecture Notes in Math.,427 (1974).Google Scholar
  7. 7.
    T. Ratiu and R. Shmid, “The differentiable structure of three remarkable diffeomorphism groups,” Math. Z.,177, 81–100 (1981).Google Scholar
  8. 8.
    D. Ebin, “The manifold of Riemannian metrics,” Proc. Sympos. Pure Math.,15, 11–40.Google Scholar
  9. 9.
    A. Fujiki and G. Schumacher, “The moduli space of Kahler structures on real compact symplectic manifolds,” Publ. Res. Inst. Math. Sci.,24, No. 1, 141–168 (1988).Google Scholar
  10. 10.
    N. Koiso, “Einstein metrics and complex structures,” Invent. Math.,73, No. 1, 71–106 (1983).Google Scholar
  11. 11.
    S. Fučic, J. Nečas, J. Souček, and V. Souček, Spectral Analysis of Nonlinear Operators, Springer, Berlin etc. (1973) (Lecture Notes in Math.,346).Google Scholar
  12. 12.
    M. Berger and D. Ebin, “Some decomposition of the space of symmetric tensors on a Riemannian manifold,” J. Differential Geom.,3, No. 3, 379–392 (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • N. K. Smolentsev
    • 1
  1. 1.Kemerovo

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