Almost conformal transformation in a class of Riemannian manifolds

Georgi Dzhelepov; Dimitar Razpopov; Iva Dokuzova

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arXiv · 1010.4975

Almost conformal transformation in a class of Riemannian manifolds

Georgi Dzhelepov·Dimitar Razpopov·Iva Dokuzova

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Abstract

We consider a 3-dimensional Riemannian manifold V with a metric g and an affinor structure q. The local coordinates of these tensors are circulant matrices. In V we define an almost conformal transformation. Using that definition we construct an infinite series of circulant metrics which are successively almost conformaly related. In this case we get some properties.

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Georgi Dzhelepov, Dimitar Razpopov, Iva Dokuzova. 2010-10-24. Almost conformal transformation in a class of Riemannian manifolds. https://arxiv.org/abs/1010.4975

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