Geodesic
Conformal mappings onto Einstein spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 8-13

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In the present paper we study conformal mappings of Riemannian manifolds onto an Einstein manifold for the minimal condition on the differentiability class of these manifolds. We show for which conditions the corresponding equations obtained by J. Mikeš, M. L. Gavril'chenko and E. I. Gladyscheva, which defined these mappings, are linear. We obtain the number of necessary parameters on which depends the general solution of fundamental system of equations.
Keywords: (pseudo-)Riemannian space, conformal mapping, Einstein space. 
@article{IVM_2016_10_a1,
     author = {L. E. Evtushik and I. Hinterleitner and N. I. Guseva and J. Mike\v{s}},
     title = {Conformal mappings onto {Einstein} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {8--13},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a1/}
}
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L. E. Evtushik; I. Hinterleitner; N. I. Guseva; J. Mikeš. Conformal mappings onto Einstein spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 8-13. http://geodesic.mathdoc.fr/item/IVM_2016_10_a1/