Geodesic
The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 36-41

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We consider the first lacuna in the distribution of the mobility of $n$-dimensional (pseudo-)Riemannian spaces with respect to conformal mappings onto Einstein spaces. We obtain a tensor characteristic of spaces different from conformally flat ones, for which $r=n-1$; this number is the maximal possible value. Thus, we have found maximally mobile spaces (different from conformally flat ones) with $r=n-1$.
Keywords: mobility distribution, (pseudo-)Riemannian space, conformal mapping, Einstein space. 
@article{IVM_2010_8_a3,
     author = {L. E. Evtushik and V. A. Kiosak and J. Mike\v{s}},
     title = {The mobility of {Riemannian} spaces with respect to conformal mappings onto {Einstein} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--41},
     publisher = {mathdoc},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_8_a3/}
}
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L. E. Evtushik; V. A. Kiosak; J. Mikeš. The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 36-41. http://geodesic.mathdoc.fr/item/IVM_2010_8_a3/