# On conformally recurrent spaces of second order

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### Additional excerpts

..., conformally recurent ([6], [20], [40], [62], [176], [223], [294], [304]), projectively recurrent [7], concircularly recurrent ([123], [131]), conharmonically recurrent [132] and quasi-conformally recurrent [65]) manifold....

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### Cites background from "On conformally recurrent spaces of ..."

...Similarly for conformally (or Ricci) recurrent [2, 59, 67, 57], conformally (or Ricci) 2-recurrent [20, 55, 68], and k-recurrent....

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##### References

204 citations

### "On conformally recurrent spaces of ..." refers background in this paper

...(2-3) « , » * } » + « , » K } « + « * » K J M = 0 Multiplying (2....

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...kj = " reduces to (2-7) blm Thm+bhi Tmm+bjk Tlmhi = 0 where (2-8) blm = alm-aml....

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...„ = 4, [nti+ 2{n^ R ){n_2) iu] = « £ ^ Hence (3-8) Ru....

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...11) reduces to (3-12) c'lmDhm+c'hiDmm+c'jkDlmM = 0....

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...3) by a\ where a\ = gavt we have (2-4) a\almR\ik+a\aimR\kl+a\akmR% = 0 Rtj = 0 implies ahmR h m = 0 by contracting h and k in (2....

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76 citations

### "On conformally recurrent spaces of ..." refers background in this paper

...Again, if in a C((2)Kn), Rtj = 0, then from (1) and (2) it follows that Rm>lm = almR h iik, that is, the space is a (2)Kn....

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...1) as well as (1) and (2) we have ((2)-(5)) hiik,lm = <*lmThiik where...

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