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We give necessary conditions for the existence of a compact manifold locally modelled on a given homogeneous space, which generalize some earlier results, in terms of relative Lie algebra cohomology.… Click to show full abstract
We give necessary conditions for the existence of a compact manifold locally modelled on a given homogeneous space, which generalize some earlier results, in terms of relative Lie algebra cohomology. Applications include both reductive and nonreductive cases. For example, we prove that there does not exist a compact manifold locally modelled on a positive dimensional coadjoint orbit of a real linear solvable algebraic group.
Keywords:
type model;
homogeneous spaces;
compact manifold;
nonreductive type;
spaces nonreductive;
model compact
Journal Title: Publications of The Research Institute for Mathematical Sciences
Year Published: 2017
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Journal Title: Publications of The Research Institute for Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!