• Corpus ID: 118846764

Pseudo-Riemannian Symmetries on Heisenberg group $\mathbb{H}_{3}$

  title={Pseudo-Riemannian Symmetries on Heisenberg group \$\mathbb\{H\}\_\{3\}\$},
  author={Michel Goze and Paola Costantina Piu},
  journal={arXiv: Differential Geometry},
  • M. Goze, P. Piu
  • Published 2 January 2012
  • Mathematics
  • arXiv: Differential Geometry
The notion of $\Gamma$-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 homogeneous spaces $G/H$ such that the Lie algebra $\g$ of $G$ admits a $\Gamma$-grading where $\Gamma$ is a finite abelian group. In this work we study Riemannian metrics and Lorentzian metrics on the Heisenberg group $\mathbb{H}_3$ adapted to the symmetries of a $\Gamma$-symmetric structure on $\mathbb{H}_3$. We prove… 


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