Riemannian geometry as a curved pre-homogeneous geometry

Ercument Ortacgil

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arXiv · 1003.3220

Riemannian geometry as a curved pre-homogeneous geometry

Ercument Ortacgil

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Abstract

We define a Riemannian structure as a pre-homogeneous geometric structure with curvature R. We show that R=0 if and only if the underlying metric has constant curvature. We define pre-homogeneous geometric structures and pose some problems.

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Ercument Ortacgil. 2010-03-16. Riemannian geometry as a curved pre-homogeneous geometry. https://arxiv.org/abs/1003.3220

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