Abstract:In the beginning, the basic facts about a conformal transformations are exposed and then equitorsion conformal transformations are defined. For every five independent curvature tensors in Generalized Riemannian space, the above cited transformations are investigated and corresponding invariants-5 concircular tensors of concircular transformations are found.
We prove a number of nonexistence theorems for metrics projectively and
holomorphically projectively equivalent to parabolic metrics and metrics of
finite volume of complete Riemannian and K?hler manifolds, respectively.
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