Some indefinite metrics and covariant derivatives of their curvature tensors
Roter, W.
Colloquium Mathematicae, Tome 62 (1991), p. 283-292 / Harvested from The Polish Digital Mathematics Library
Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:210115
@article{bwmeta1.element.bwnjournal-article-cmv62i2p283bwm,
     author = {W. Roter},
     title = {Some indefinite metrics and covariant derivatives of their curvature tensors},
     journal = {Colloquium Mathematicae},
     volume = {62},
     year = {1991},
     pages = {283-292},
     zbl = {0793.53021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv62i2p283bwm}
}
Roter, W. Some indefinite metrics and covariant derivatives of their curvature tensors. Colloquium Mathematicae, Tome 62 (1991) pp. 283-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv62i2p283bwm/

[000] [1] T. Adati and T. Miyazawa, On a Riemannian space with recurrent conformal curvature, Tensor (N.S.) 18 (1967), 348-354. | Zbl 0152.39103

[001] [2] M. C. Chaki and B. Gupta, On conformally symmetric spaces, Indian J. Math. 5 (1963), 113-122. | Zbl 0122.39902

[002] [3] A. Derdziński, The local structure of essentially conformally symmetric manifolds with constant fundamental function, I. The elliptic case, Colloq. Math. 42 (1979), 53-81. | Zbl 0439.53034

[003] [4] A. Derdziński, The local structure of essentially conformally symmetric manifolds with constant fundamental function, II. The hyperbolic case, ibid. 44 (1981), 77-95. | Zbl 0491.53013

[004] [5] A. Derdziński and W. Roter, On conformally symmetric manifolds with metrics of indices 0 and 1, Tensor (N.S.) 31 (1977), 255-259. | Zbl 0379.53027

[005] [6] A. Derdziński and W. Roter, Some theorems on conformally symmetric manifolds, ibid. 32 (1978), 11-23. | Zbl 0378.53010

[006] [7] L. P. Eisenhart, Riemannian Geometry, 2nd ed., Princeton University Press, Princeton 1949.

[007] [8] V. R. Kaĭgorodov, Structure of the curvature of space-time, in: Problems in Geometry, Itogi Nauki i Tekhniki 14 (1983), 177-204 (in Russian).

[008] [9] M. Matsumoto, On Riemannian spaces with recurrent projective curvature, Tensor (N.S.) 19 (1968), 11-18. | Zbl 0168.19405

[009] [10] H. K. Nickerson, On conformally symmetric spaces, Geom. Dedicata 18 (1985), 87-99. | Zbl 0568.53013

[010] [11] K. Nomizu and H. Ozeki, A theorem on curvature tensor fields, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 206-207. | Zbl 0139.39201

[011] [12] E. M. Patterson, Some theorems on Ricci-recurrent spaces, J. London Math. Soc. 27 (1952), 287-295. | Zbl 0048.15604

[012] [13] W. Roter, On conformally related conformally recurrent metrics, I. Some general results, Colloq. Math. 47 (1982), 39-46. | Zbl 0512.53021

[013] [14] W. Roter, On a class of conformally recurrent manifolds, Tensor (N.S.) 39 (1982), 207-217. | Zbl 0518.53018

[014] [15] W. Roter, On the existence of certain conformally recurrent metrics, Colloq. Math. 51 (1987), 315-327. | Zbl 0622.53012

[015] [16] H. S. Ruse, A. G. Walker and T. J. Willmore, Harmonic Spaces, Edizioni Cremonese, Roma 1961. | Zbl 0134.39202

[016] [17] S. Tanno, Curvature tensors and covariant derivatives, Ann. Mat. Pura Appl. 96 (1973), 233-241. | Zbl 0277.53013

[017] [18] A. G. Walker, On Ruse's spaces of recurrent curvature, Proc. London Math. Soc. 52 (1950), 36-64. | Zbl 0039.17702