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Homogeneous geodesics in pseudo-Riemannian nilmanifolds
(De Gruyter, 2016-04)
We study the geodesic orbit property for nilpotent Lie groups N when endowed with a pseudo-Riemannian left-invariant metric. We consider this property with respect to different groups acting by isometries. When N acts on ...
Isometric actions on pseudo-Riemannian nilmanifolds
(Springer, 2014-02)
This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the ...
Naturally reductive pseudo-riemannian 2-step nilpotent lie groups
(University of Houston, 2013-01)
This paper deals with naturally reductive pseudo-Riemannian 2- step nilpotent Lie groups for which the metric is invariant under a left action. The case of nondegenerate center is characterized as follows. The simply ...
Notes on flat pseudo-Riemannian manifolds
(Pontificia Universidad Católica del Perú, 2019)
Metric tensors for homogeneous, isotropic, 5-dimensional pseudo riemannian models
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1998)
In this paper westudy the metric tensor of a homogeneous, isotropic, 5-dimensional pseudo Riemannian space, solving the corresponding Einstein equations when the spatial component is flat, spherical or pseudo spherical
On the Isometry Groups of Invariant Lorentzian Metrics on the Heisenberg Group
(Birkhauser Verlag Ag, 2014-01)
This work concerns the invariant Lorentzian metrics on the Heisenberg Lie group of dimension three H3(R) and the bi-invariant metrics on the solvable Lie groups of dimension four. We start with the indecomposable Lie groups ...
Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface
(ELSEVIER SCIENCE BV, 2011)
Given an oriented Riemannian surface (Sigma, g), its tangent bundle T Sigma enjoys a natural pseudo-Kahler structure, that is the combination of a complex structure 2, a pseudo-metric G with neutral signature and a symplectic ...
Notes on flat pseudo-Riemannian manifolds
(Pontificia Universidad Católica del PerúPE, 2019)
Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence
(Birkhauser VerlagBasel, 2013)
We deal with homogeneous isotropic turbulence and use the two-point velocity correlation tensor field (parametrized
by the time variable t) of the velocity fluctuations to equip an affine space K3 of the correlation vectors ...
Interpolation of geometric structures compatible with a pseudo Riemannian metric
(Springer, 2016-11)
Let (M, g) be a pseudo Riemannian manifold. We consider four geometric structures on M compatible with g: two almost complex and two almost product structures satisfying additionally certain integrability conditions. For ...