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}
}
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29 Citations
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10
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29 Citations

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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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Completing Lie algebra actions to Lie group actions
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Cohomology of Horizontal Forms
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On Ricci curvature of metric structures on g-manifolds
Singular Poisson Reduction of Cotangent Bundles
We consider the Poisson reduced space (T Q)/K , where the action of the com pact Lie group K on the configuration manifold Q is of single orbit type and is cotangent lifted to T Q. Realizing (T Q)/K…
A cotangent bundle Hamiltonian tube theorem and its applications in reduction theory
The Marle-Guillemin-Sternberg (MGS) model is an extremely important tool for the theory of Hamiltonian actions on symplectic manifolds. It has been extensively used to prove many local results both…
Geometric foundations of Cartan gauge gravity
We use the theory of Cartan connections to analyze the geometrical structures underpinning the gauge-theoretical descriptions of the gravitational interaction. According to the theory of Cartan…
On Heisenberg normal structures
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…
Local reflexion spaces
A reflexion space is generalization of a symmetric space introduced by O. Loos in [6]. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local…
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References

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