LEFT INVARIANT $(\alpha,\beta)$-METRICS ON 4-DIMENSIONAL LIE GROUPS

DOI10.22190/FUMI2003727AzbMath1488.53054WikidataQ115230226 ScholiaQ115230226MaRDI QIDQ5010211

Laurian-Ioan Piscoran, Behzad Najafi, Mona Atashafrouz

Publication date: 24 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

Riemannian metric\((\alpha, \beta)\)-metricflag curvaturepara-hypercomplex structure

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Differential invariants (local theory), geometric objects (53A55) Topological and differentiable algebraic systems (22A99)

Cites Work

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• Four-dimensional Lie algebras with a para-hypercomplex structure
• A class of Finsler metrics with isotropic S-curvature
• Finsler geometry, relativity and gauge theories
• The theory of sprays and Finsler spaces with applications in physics and biology
• Hyper-Kähler metrics conformal to left invariant metrics on four-dimensional Lie groups
• Hypercomplex structures on four-dimensional Lie groups