• Tensorial structures associated with semisimple graded Lie algebras, Vol 37, No.1

Authors: Martín Méndez, Alberto, Universidade de Vigo, 36310, Vigo (Pontevedra), Spain (amartin@dma.uvigo.es), and Torres Lopera, Juan Francisco, Universidade de Santiago de Compostela, 15706, Santiago de Compostela (La Coruña), Spain (jftorre@usc.es).
Tensorial structures associated with semisimple graded Lie algebras, pp. 61-77.
ABSTRACT. Properties concerning several tensors associated with geometric structures of graded type are studied. Particularly, we study Tanaka tensor and Weyl curvature tensor and some relations between them. We prove that the difference tensor of two linear connections on a manifold endowed with a geometric structure of graded type is null if and only if the connections have the same torsion. An explicit calculus of Tanaka tensor for classical simple real graded Lie algebras is given.

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Tensorial structures associated with semisimple graded Lie algebras, Vol 37, No.1

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