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A method to find generators of a semi-simple Lie group via the topology of its flag manifolds
(2017-10-01)
In this paper we continue to develop the topological method to get semigroup generators of semi-simple Lie groups. Consider a subset Γ ⊂ G that contains a semi-simple subgroup G1 of G. If one can show that Γ does not leave ...
Connected components of open semigroups in semi-simple Lie groups
(SpringerNew YorkEUA, 2004)
Maximal semigroups in semi-simple Lie groups
(Amer Mathematical SocProvidenceEUA, 2001)
Lorentzian compact manifolds: Isometries and geodesics
(Elsevier Science, 2014-04)
In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and non-closed spacelike and timelike geodesics. ...
A NOTE ON OPEN 3-MANIFOLDS SUPPORTING FOLIATIONS BY PLANES
(AMER MATHEMATICAL SOCPROVIDENCE, 2012)
We show that if N, an open connected n-manifold with finitely generated fundamental group, is C-2 foliated by closed planes, then pi(1)(N) is a free group. This implies that if pi(1)(N) has an abelian subgroup of rank ...
Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
(Mathematical Sciences Publishers, 2001-12)
In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.
Controllability of control systems on complex simple lie groups and the topology of flag manifolds
(2013)
Let S be a subsemigroup with nonempty interior of a connected complex simple Lie group G. It is proved that S = G if S contains a subgroup G (α) ≈ Sl (2, C) generated by the exp g±α, where gα is the root space of the root ...
INVARIANT CONTROL SETS ON FLAG MANIFOLDS
(Springer-verlag London LtdGodalmingInglaterra, 1993)
Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
(Canadian Mathematical Soc, 2014-06)
Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation ...
Tits alternative for 3-manifold groups
(Birkhauser Verlag AgBaselSuíça, 2007)