Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 40 No. 1 (2022): Revista Integración, temas de matemáticas
Research and Innovation Articles

Lie algebras whose Lie groups have negative sectional curvature

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Gil Salgado
Universidad Autónoma de San Luis Potosí
DOI: https://doi.org/10.18273/revint.v40n1-2022005

Published 2022-03-01

Keywords

  • Lie algebras,
  • Riemannian Lie groups,
  • Sectional curvature

How to Cite

Salgado, G. (2022). Lie algebras whose Lie groups have negative sectional curvature. Revista Integración, Temas De matemáticas, 40(1), 87–97. https://doi.org/10.18273/revint.v40n1-2022005

Copyright (c) 2022 Revista Integración, temas de matemáticas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the linear subspace spanned by them is a Lie subalgebra. On the other hand, the second family consists of reduced Lie algebras of Iwasawa type.

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