On conformally birecurrent Ricci-recurrent manifolds

Stanisław Ewert-Krzemieniewski

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 2, page 299-312
  • ISSN: 0010-1354

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Ewert-Krzemieniewski, Stanisław. "On conformally birecurrent Ricci-recurrent manifolds." Colloquium Mathematicae 62.2 (1991): 299-312. <http://eudml.org/doc/210117>.

@article{Ewert1991,
author = {Ewert-Krzemieniewski, Stanisław},
journal = {Colloquium Mathematicae},
keywords = {Weyl conformal curvature tensor; Ricci tensor},
language = {eng},
number = {2},
pages = {299-312},
title = {On conformally birecurrent Ricci-recurrent manifolds},
url = {http://eudml.org/doc/210117},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Ewert-Krzemieniewski, Stanisław
TI - On conformally birecurrent Ricci-recurrent manifolds
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 2
SP - 299
EP - 312
LA - eng
KW - Weyl conformal curvature tensor; Ricci tensor
UR - http://eudml.org/doc/210117
ER -

References

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  1. [1] T. Adati and T. Miyazawa, On a Riemannian space with recurrent conformal curvature, Tensor (N.S.) 18 (1967), 348-354. Zbl0152.39103
  2. [2] M. C. Chaki and A. N. Roy Chowdhury, On conformally recurrent spaces of second order, J. Austral. Math. Soc. 10 (1969), 155-161. Zbl0175.48803
  3. [3] C. D. Collinson and F. Söler, Second order conformally recurrent and birecurrent plane fronted waves, Tensor (N.S.) 27 (1973), 37-40. Zbl0251.53039
  4. [4] L. P. Eisenhart, Riemannian Geometry, Princeton University Press, Princeton 1966. 
  5. [5] S. Ewert-Krzemieniewski, On the existence of certain types of Riemannian metrics, to appear. Zbl0787.53015
  6. [6] S. Ewert-Krzemieniewski, Conformally birecurrent manifolds and some vector fields, to appear. Zbl0935.53010
  7. [7] W. Grycak and M. Hotloś, On the existence of certain types of Riemannian metrics, Colloq. Math. 47 (1982), 31-37. Zbl0497.53030
  8. [8] A. Lichnerowicz, Courbure, nombres de Betti, et espaces symétriques, in: Proc. Internat. Congress Math. 1952, vol. 2, 216-223. 
  9. [9] J. Navez, Riemannian spaces with second order recurrent tensor of conformal curvature, Bull. Soc. Roy. Sci. Liège 40 (1971), 110-115. Zbl0218.53034
  10. [10] Z. Olszak, On Ricci-recurrent manifolds, Colloq. Math. 52 (1987), 205-211. Zbl0548.53022
  11. [11] E. M. Patterson, Some theorems on Ricci-recurrent spaces, J. London Math. Soc. 27 (1952), 287-295. Zbl0048.15604
  12. [12] W. Roter, On conformally recurrent Ricci-recurrent manifolds, Colloq. Math. 46 (1982), 45-57. Zbl0497.53029
  13. [13] W. Roter, On conformally symmetric Ricci-recurrent spaces, ibid. 31 (1974), 87-96. Zbl0292.53014
  14. [14] H. S. Ruse, A. G. Walker and T. J. Willmore, Harmonic Spaces, Edizioni Cremonese, Roma 1961. Zbl0134.39202
  15. [15] A. G. Walker, On Ruse's spaces of recurrent curvature, Proc. London Math. Soc. 52 (1950), 36-64. Zbl0039.17702

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