Differential geometry of g-manifolds

@article{Alekseevsky1995DifferentialGO,
  title={Differential geometry of g-manifolds},
  author={Dmitri Alekseevsky and Peter W. Michor},
  journal={Differential Geometry and Its Applications},
  year={1995},
  volume={5},
  pages={371-403}
}
Geometric Complexity Theory -- Lie Algebraic Methods for Projective Limits of Stable Points
TLDR
The primary objective is to understand the points [y], and their stabilizers, which occur in the vicinity of [x] in PV, and an explicit Lie algebra action of G is constructed on a suitably parametrized neighbourhood of x, showing that the Lie algebras of the stabilizers of points in the neighbourhood ofx are parameterized by subspaces of H.
The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds
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We consider higher dimensional generalisations of normal almost contact structures. Two types of these structures are discussed. In the first case we replace an action of $\mathbb{R}$ (which is the
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