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Natural Intrinsic Geometrical Symmetries

Differential Geometry 2009-10-06 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0909.0478,
  title  = {Natural Intrinsic Geometrical Symmetries},
  author = {Stefan Haesen and Leopold Verstraelen},
  journal= {arXiv preprint arXiv:0909.0478},
  year   = {2009}
}

Comments

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