%0 Journal Article
%T Towards conformally flat isothermic metrics
%A Adam Szereszewski
%A Antoni Sym
%J Mathematics
%D 2013
%I arXiv
%X According to [8] if the stationary Schroedinger equation on n-dim. Riemann space admits R-separation of variables (i.e. separation of variables with a factor R), then the underlying metric is necessarily isothermic. An important sub-class of isothermic metrics are the so called binary metrics. In this paper we study conditions for vanishing of components C_ijkl of Weyl tensor of arbitrary 4-binary metrics. In particular all 4-binary metrics for which C_ijij are the only non-vanishing components are classified into four classes. Finally, conformally flat metrics of the last class are isolated.
%U http://arxiv.org/abs/1305.3300v1