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ON PSEUDO CYCLIC RICCI SYMMETRIC SPACETIMES

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초록

The object of the present paper is to study pseudo cyclic Ricci symmetric spacetimes. The applications of pseudo cyclic Ricci symmetric spacetimes to general relativity and cosmology are investigated

Abstract

The object of the present paper is to study pseudo cyclic Ricci symmetric spacetimes. The applications of pseudo cyclic Ricci symmetric spacetimes to general relativity and cosmology are investigated

참고문헌 (12)

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  2. J. K. Beem, "Global Lorentzian geometry" (1981), Marcel Dekker
  3. M. C. Chaki, "On pseudo Ricci symmetric manifolds", Bulg. J. Phys., 15, pp.526~531 (1988)
  4. D. Ferus, "remark on Codazzi tensors on constant curvature space. in: Global Differential Geometry and Global Analysis" (1981), Springer-Verlag
  5. M. Novello, "The stability of a rotating universe", The Astrophysics J., 225, pp.719~724 (1978)
  6. B. O'Neill, "Semi-Riemannian geometry with applications to relativity" (1983), Academic Press, Inc.
  7. E. M. Patterson, "Some theorems on Ricci recurrent spaces", J. of London Math. Soc., 27, pp.287~295 (1952)
  8. A. Z. Petrov, "Einstein spaces" (1949), Pergamon Press
  9. A. K. Roychaudhuri, "General relativity, astrophysics and cosmology" (1992), Springer-Verlag
  10. A. A. Shaikh, "On pseudo cyclic Ricci symmetric manifolds", Asian-European J. of Math., 2(2), pp.227~237 (2009)
  11. R. Sharma, "Proper conformal symmetries of spacetimes with divergence-free Weyl conformal tensor", J. Math. Phys., 34, pp.3582~3587 (1993)
  12. Z. I. Szabó, "Structure theorems on Riemannian spaces satisfying R(X, Y)·R = 0, The local version", J. Diff. Geom., 17, pp.531~582 (1982)

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