On a Three Dimensional Riemannian Manifold with an Additional Structure

Georgi Dzhelepov; Iva Dokuzova; Dimitar Razpopov

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arXiv · 0905.0801

On a Three Dimensional Riemannian Manifold with an Additional Structure

Georgi Dzhelepov·Iva Dokuzova·Dimitar Razpopov

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Abstract

We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent vectors are equal among them.

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Georgi Dzhelepov, Iva Dokuzova, Dimitar Razpopov. 2009-05-06. On a Three Dimensional Riemannian Manifold with an Additional Structure. https://arxiv.org/abs/0905.0801

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