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math.DG2014
Reductive locally homogeneous pseudo-Riemannian manifolds and Ambrose-Singer connections
Ignacio Luján
Ambrose and Singer characterized connected, simply-connected and complete homogeneous Riemannian manifolds as Riemannian manifolds admitting a metric connection such that its curva…
math.DG2013
Non-degenerate homogeneous -Kähler and -quaternion Kähler structures of linear type
Ignacio Luján, Andrew Swann
We study the class of non-degenerate homogeneous structures of linear type in the pseudo-Kähler, para-Kähler, pseudo-quaternion Kähler and para-quaternion Kähler cases. We show tha…
math.DG2011★ 1 cited
Reduction of Homogeneous Riemannian Structures
M. Castrillon Lopez, I. Lujan
The goal of this article is the study of homogeneous Riemannian structure tensors within the framework of reduction under a group of isometries. In a first result, is a nor…