Displaying similar documents to “The explicit construction of Einstein Finsler metrics with non-constant flag curvature.”

On the geometry of some para-hypercomplex Lie groups

H. R. Salimi Moghaddam (2009)

Archivum Mathematicum

Similarity:

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...

On special Berwald metrics.

Tayebi, Akbar, Peyghan, Esmaeil (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Witt algebra and the curvature of the Heisenberg group

Zoltán Muzsnay, Péter T. Nagy (2012)

Communications in Mathematics

Similarity:

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.