On conformally birecurrent Ricci-recurrent manifolds

• Autorzy: Stanisław Ewert-Krzemieniewski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 2
• Strony: 299-312

Daty

wydano

1991

otrzymano

1989-07-20

Twórcy

autor

Stanisław Ewert-Krzemieniewski

• Institute of Mathematics, Szczecin Technical University, Al. Piastów 17, 70-310 Szczecin, Poland

Bibliografia

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