Natural Intrinsic Geometrical Symmetries

Details Natural Intrinsic Geometrical Symmetries Natural Intrinsic Geometrical Symmetries

2009-09-02

arxiv.org/abs/0909.0478v2

SIGMA 5 (2009), 086, 15 pages

Mathematics

Differential Geometry

Theorem 20 is corrected and References [13, 14] are added

Scientific paper

10.3842/SIGMA.2009.086

A proposal is made for what could well be the most natural symmetrical
Riemannian spaces which are homogeneous but not isotropic, i.e. of what could
well be the most natural class of symmetrical spaces beyond the spaces of
constant Riemannian curvature, that is, beyond the spaces which are homogeneous
and isotropic, or, still, the spaces which satisfy the axiom of free mobility.

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