The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces |
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| Authors: | L E Evtushik VA Kiosak J Mikeš |
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| Institution: | 1.Moscow State University,Moscow,Russia;2.Danube Branch of Interregional Human Resource Management Academy,Izmail, Odessa Region,Ukraine;3.Palacky University,Olomouc,Czech Republic |
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| Abstract: | We give an estimate of the first lacuna in the distribution of mobility degrees r of n-dimensional (pseudo-)Riemannian spaces with respect to conformal mappings onto Einstein spaces. We obtain a tensor characteristic
of spaces which are not conformally flat and have r = n − 1, which is the maximum possible value. Thus, we have found maximum mobile nonconformally flat spaces with r = n − 1. |
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