AbstractWe show that naturally reductive (indefinite) metrics on homogeneous systems are determined by nondegenerate invariant forms of their tangent Lie triple algebras. By using this we obtain the decomposition theorem of homogeneous systems. Furthermore, we show that a naturally reductive Riemannian homogeneous space is irreducible if and only if its tangent Lie triple algebra is simple
summary:We study harmonic metrics with respect to the class of invariant metrics on non-reductive ho...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...
On any real semisimple Lie group we consider a one parameter family of left-invariant naturally red...
AbstractWe show that naturally reductive (indefinite) metrics on homogeneous systems are determined ...
We prove that all geodesics of homogeneous Gödel-type metrics are homogeneous. This result makes nat...
summary:In the present paper we study naturally reductive homogeneous $(\alpha ,\beta )$-metric spac...
When a homogeneous space admits an invariant affine connection? If there exists at least one invaria...
For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum ...
AbstractLie–Yamaguti algebras (or generalized Lie triple systems) are binary–ternary algebras intima...
We present a new method for classifying naturally reductive homogeneous spaces – i.e.homogeneous Rie...
Abstract. Two kinds of canonical connections have been introduced by the author for homogeneous (lef...
Given a compact Lie group G with Lie algebra gg, we consider its tangent Lie group TG≅G⋉AdgTG. In th...
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [21] th...
summary:We study harmonic metrics with respect to the class of invariant metrics on non-reductive ho...
Abstract. Here we consider the general flag manifold FΘ as a naturally re-ductive homogeneous space ...
summary:We study harmonic metrics with respect to the class of invariant metrics on non-reductive ho...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...
On any real semisimple Lie group we consider a one parameter family of left-invariant naturally red...
AbstractWe show that naturally reductive (indefinite) metrics on homogeneous systems are determined ...
We prove that all geodesics of homogeneous Gödel-type metrics are homogeneous. This result makes nat...
summary:In the present paper we study naturally reductive homogeneous $(\alpha ,\beta )$-metric spac...
When a homogeneous space admits an invariant affine connection? If there exists at least one invaria...
For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum ...
AbstractLie–Yamaguti algebras (or generalized Lie triple systems) are binary–ternary algebras intima...
We present a new method for classifying naturally reductive homogeneous spaces – i.e.homogeneous Rie...
Abstract. Two kinds of canonical connections have been introduced by the author for homogeneous (lef...
Given a compact Lie group G with Lie algebra gg, we consider its tangent Lie group TG≅G⋉AdgTG. In th...
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [21] th...
summary:We study harmonic metrics with respect to the class of invariant metrics on non-reductive ho...
Abstract. Here we consider the general flag manifold FΘ as a naturally re-ductive homogeneous space ...
summary:We study harmonic metrics with respect to the class of invariant metrics on non-reductive ho...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...
On any real semisimple Lie group we consider a one parameter family of left-invariant naturally red...
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