Invariant connections with skew-torsion and $\nabla$-Einstein manifolds

zbMath1342.53072arXiv1408.0975MaRDI QIDQ2810919

Ioannis Chrysikos

Publication date: 6 June 2016

Full work available at URL: https://arxiv.org/abs/1408.0975

zbMATH Keywords

naturally reductive spaceKilling metric\(\nabla\)-Einstein structureinvariant connection with skew-symmetric torsion

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Connections (general theory) (53C05)

Related Items (7)

Tangent Lie groups are Riemannian naturally reductive spaces ⋮ Invariant affine connections on odd-dimensional spheres ⋮ A note on the volume of \(\nabla\)-Einstein manifolds with skew-torsion ⋮ Invariant connections and \(\nabla\)-Einstein structures on isotropy irreducible spaces ⋮ Generalizations of 3-Sasakian manifolds and skew torsion ⋮ Affine connections on 3-Sasakian homogeneous manifolds ⋮ Killing and twistor spinors with torsion

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