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20002018
most citedCartan class of Invariant forms on Lie groups

30 citations · 98 across the 34 of their papers we have counts for

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7 papers · 1 filter

math.DG2014

Pseudo-Riemannian Symmetries on Heisenberg groups

Michel Goze, Paola Piu, Elisabeth Remm

The notion of -symmetric space is a natural generalization of the classical notion of symmetric space based on -grading of Lie algebras. In our case, we consider homogeneo…

math.DG2013★ 30 cited

Cartan class of Invariant forms on Lie groups

Michel Goze, Elisabeth Remm

We are interested in the class, in the Elie Cartan sense, of left invariant forms on a Lie group. We construct the class of Lie algebras provided with a contact form and classify t…

math.DG2012

Pseudo-Riemannian Symmetries on Heisenberg group

Michel Goze, Paola Piu

The notion of -symmetric space is a natural generalization of the classical notion of symmetric space based on $\z_2$-grading of Lie algebras. In our case, we consider homogeneo…

math.DG2007

Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m)

Elisabeth Remm, Michel Goze

In this work, we are interested in a non symmetric homogeneous space, namely . We show that this space admits a structure of -symmetric space. We describe all…

math.DG2006

(Z/2Z x Z/2Z)-symmetric spaces

Yuri Bahturin, Michel Goze

The notion of a -symmetric space is a generalization of the classical notion of a symmetric space, where a general finite abelian group replaces the group . The case $Γ…

math.DG2006★ 2 cited

On Riemannian non symmetric spaces and flag manifolds

Abelkader Bouyakoub, Michel Goze, Elisabeth Remm

In this work we study riemannian metrics on flag manifolds adapted to the symmetries of these homogeneous nonsymmetric spaces. We first introduce the notion of riemannian -symme…