Results 81 to 90 of about 8,355 (123)
ON CERTAIN HOMOGENEOUS COMPLEX MANIFOLDS. [PDF]
Griffiths PA.
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On Algebraic Lie Algebras. [PDF]
Chevalley C, Tuan HF.
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On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry [PDF]
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Continuum and Discrete Initial-Boundary Value Problems and Einstein's Field Equations. [PDF]
Sarbach O, Tiglio M.
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Local solvability of second order differential operators on nilpotent Lie groups
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Controllability of Linear Systems on Low Dimensional Nilpotent and Solvable Lie Groups
Journal of Dynamical and Control Systems, 2014This paper is devoted to the study of controllability of linear systems on solvable and nilpotent Lie groups. Some general results are stated and used to completely characterize the controllable systems on the nilpotent Heisenberg group and the solvable 2-dimensional affine group.
Philippe Jouan
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Isotropy of non-nilpotent Riemannian solvable Lie groups
Annals of Global Analysis and Geometry, 1996Let \((G, g)\) be a solvable Lie group endowed with a left-invariant Riemannian metric. It is known that if \(G\) is unimodular and all roots of its Lie algebra \({\mathfrak k}\) are real, then its isometry group \(I(G, g)\) is isomorphic to the semidirect product \(GK\) of \(G\) and the isotropy group at the identity \(K\), this being isomorphic to ...
Ignacio Bajo
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Normal Subgroups, Nilpotent and Solvable Lie Groups
2012In this chapter, we address structural aspects of Lie groups. Here an important issue is to see that for any closed normal subgroup N of a Lie group G, the quotient G/N carries a canonical Lie group structure, so that we may consider N and G/N as two pieces into which G decomposes. With this information, we then address the canonical factorization of a
Joachim Hilgert, Karl-Hermann Neeb
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SUBGROUPS OF FRACTIONAL DIMENSION IN NILPOTENT OR SOLVABLE LIE GROUPS
Mathematika, 2013In [J. Reine Angew. Math. 221, 203--208 (1966; Zbl 0135.10202)], \textit{P. Erdős} and \textit{B. Volkmann} constructed measurable additive subgroups of \(\mathbb R\) of arbitrary dimension between zero and one. In this paper, the case of nilpotent Lie groups is investigated, endowed with a left invariant Riemannian metric.
N. Saxcé
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