On a Three Dimensional Riemannian Manifold with an Additional Structure

Details On a Three Dimensional Riemannian Manifold with an Additional Structure On a Three Dimensional Riemannian Manifold with an Additional Structure

2009-05-06

arxiv.org/abs/0905.0801v1

Mathematics

Differential Geometry

4 pages

Scientific paper

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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