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Revista Integración
versión impresa ISSN 0120-419Xversión On-line ISSN 2145-8472
Resumen
SALGADO, GIL. Lie algebras whose Lie groups have negative sectional curvature. Integración - UIS [online]. 2022, vol.40, n.1, pp.87-97. Epub 24-Ago-2022. ISSN 0120-419X. https://doi.org/10.18273/revint.v40n1-2022005.
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.
MSC2010:
53C30, 17B30, 17B05.
Palabras clave : Sectional curvature; Riemannian Lie groups; Lie algebras.