Homogeneous and locally homogeneous spaces are among the most important objects of study in Differential Geometry. They have been extensively investigated using several methods and techniques. When considering a homogeneous space, many geometric properties translate into algebraic properties. However, a difficulty arises, due to the fact that the same pseudo-Riemannian manifold (M, g) can admit several different descriptions as a coset space G / H. It is surprising how little is understood about this problem for many well-known examples of homogeneous pseudo-Riemannian manifolds.
CITATION STYLE
Calvaruso, G., & Castrillón López, M. (2019). Ambrose–Singer Connections and Homogeneous Spaces. In Developments in Mathematics (Vol. 59, pp. 41–58). Springer New York LLC. https://doi.org/10.1007/978-3-030-18152-9_2
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