Classification of Randers metrics of scalar flag curvature.
Cheng, Xinyue, Shen, Zhongmin (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Displaying similar documents to “The -curvature of homogeneous -metrics.”
Classification of Randers metrics of scalar flag curvature.
The explicit construction of Einstein Finsler metrics with non-constant flag curvature.
Guo, Enli, Mo, Xiaohuan, Zhang, Xianqiang (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On the geometry of some para-hypercomplex Lie groups
H. R. Salimi Moghaddam (2009)
Archivum Mathematicum
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In this paper, firstly we study some left invariant Riemannian metrics on para-hypercomplex 4-dimensional Lie groups. In each Lie group, the Levi-Civita connection and sectional curvature have been given explicitly. We also show these spaces have constant negative scalar curvatures. Then by using left invariant Riemannian metrics introduced in the first part, we construct some left invariant Randers metrics of Berwald type. The explicit formulas for computing flag curvature have been...
Some rigidity theorems for Finsler manifolds of sectional flag curvature
Bing Ye Wu (2010)
Archivum Mathematicum
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In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.
Witt algebra and the curvature of the Heisenberg group
Zoltán Muzsnay, Péter T. Nagy (2012)
Communications in Mathematics
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The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.