Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups

DOI10.1007/S12215-018-0334-1zbMath1407.53049arXiv1702.07999OpenAlexW2950265324WikidataQ115376988 ScholiaQ115376988MaRDI QIDQ1632036

M. Hosseini, Hamid Reza Salimi Moghaddam

Publication date: 12 December 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07999

zbMATH Keywords

hypercomplex structureRanders metricflag curvatureFinsler metric of Berwald typeFinsler metric of Douglas typehyper-Hermitian metricinvariant hypercomplex structure

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Lie algebras of Lie groups (22E60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

• Compact hypercomplex and quaternionic manifolds
• Invariant \((\alpha , \beta)\)-metrics on homogeneous manifolds
• Hyper-Hermitian metrics with symmetry
• Topological quantum field theory in quaternionic geometry
• Hypercomplex eight-dimensional nilpotent Lie groups.
• Homogeneous Finsler Spaces
• Hypercomplex structures on four-dimensional Lie groups
• HKT geometry and fake five-dimensional supergravity
• ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE
• Mixing and decoherence in continuous-time quantum walks on long-range interacting cycles
• On Flag Curvature of Homogeneous Randers Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups