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The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
Curves in homogeneous spaces and their contact with 1-dimensional orbits
(Springer, 2011-10-01)
Let alpha be a C(infinity) curve in a homogeneous space G/H. For each point x on the curve, we consider the subspace S(k)(alpha) of the Lie algebra G of G consisting of the vectors generating a one parameter subgroup whose ...
On conjugacy of Cartan subalgebras in extended affine Lie algebras
(Academic Press Inc Elsevier Science, 2016-02)
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and indecomposable irreducible root systems, is ...
Invariant solutions to the conformal Killing-Yano equation on Lie groups
(Elsevier Science, 2015-08)
We search for invariant solutions of the conformal Killing-Yano equation on Lie groups equipped with left invariant Riemannian metrics, focusing on 2-forms. We show that when the Lie group is compact equipped with a ...
Connected components of open semigroups in semi-simple Lie groups
(SpringerNew YorkEUA, 2004)
Maximal semigroups in semi-simple Lie groups
(Amer Mathematical SocProvidenceEUA, 2001)
Integrable systems on semidirect product Lie groups
(IOP Publishing, 2014-05)
We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie group as phase space endowed with this ...
On the Chern-Ricci flow and its solitons for Lie groups
(Wiley VCH Verlag, 2015-09)
This paper is concerned with Chern-Ricci flow evolution of left-invariant hermitian structures on Lie groups. We study the behavior of a solution, as t is approaching the first time singularity, by rescaling in order to ...