Structures on manifolds | Lie algebras

Solvmanifold

In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group. It may also be characterized as a quotient of a connected solvable Lie group by a closed subgroup. (Some authors also require that the Lie group be simply-connected, or that the quotient be compact.)A special class of solvmanifolds, nilmanifolds, was introduced by Anatoly Maltsev, who proved the first structural theorems. Properties of general solvmanifolds are similar, but somewhat more complicated. (Wikipedia).

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Heisenberg group | Anosov diffeomorphism | Klein bottle | Fundamental group | Aspherical space | Vector bundle | Group extension | Anatoly Maltsev | Subgroup | Free abelian group | Mathematics | Homogeneous space | Nilmanifold | Nilpotent group | Polycyclic group | Lie algebra | Torus | Mapping torus