In this paper, we determinate a class of possible restricted holonomy groups for a non-irreducible indecomposable pseudo-riemannian manifold with signature (2,2 + n). In particular, we deduce that which associated to symmetric spaces; and give some examples of such spaces. Finally, we construct some examples of metrics whose restricted holonomy groups are not closed
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
We determine the pseudo-riemannian symmetric spaces with completely reducible holonomy which admit a...
The problem of classification of connected holonomy groups (equivalently of holonomy algebras) for p...
The three chapters, quite independent, study the pseudo-Riemannian manifolds (manifolds endowed with...
The three chapters, quite independent, study the pseudo-Riemannian manifolds (manifolds endowed with...
Kath We determine all indecomposable pseudo-Riemannian symmetric spaces of signature (4, 3) whose ho...
We describe the possible holonomy groups of simply connected irreducible non-locally symmetric pseud...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
We develop the classification of weakly symmetric pseudo-Riemannian manifolds G / H where ...
We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy...
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the...
We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the foll...
We classify the holonomy algebras of manifolds admitting an indecomposable torsion free G2 -structur...
We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It is done by showing that...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
We determine the pseudo-riemannian symmetric spaces with completely reducible holonomy which admit a...
The problem of classification of connected holonomy groups (equivalently of holonomy algebras) for p...
The three chapters, quite independent, study the pseudo-Riemannian manifolds (manifolds endowed with...
The three chapters, quite independent, study the pseudo-Riemannian manifolds (manifolds endowed with...
Kath We determine all indecomposable pseudo-Riemannian symmetric spaces of signature (4, 3) whose ho...
We describe the possible holonomy groups of simply connected irreducible non-locally symmetric pseud...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
We develop the classification of weakly symmetric pseudo-Riemannian manifolds G / H where ...
We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy...
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the...
We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the foll...
We classify the holonomy algebras of manifolds admitting an indecomposable torsion free G2 -structur...
We extend the Gallot-Tanno Theorem to closed pseudo-Riemannian manifolds. It is done by showing that...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
summary:We provide the tangent bundle $TM$ of pseudo-Riemannian manifold $(M,g)$ with the Sasaki met...
We determine the pseudo-riemannian symmetric spaces with completely reducible holonomy which admit a...