Riemannian geometry as a curved pre-homogeneous geometry

Details Riemannian geometry as a curved pre-homogeneous geometry Riemannian geometry as a curved pre-homogeneous geometry

2010-03-16

arxiv.org/abs/1003.3220v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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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