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A classification of the torsion tensors on almost contact manifolds with B-metric

100%

Manev M., Ivanova M.

Open Mathematics

2014

tom 12

nr 10

1416-1432

The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.

Twisted gamma filtration and algebras with orthogonal involution

75%

Junkins C.

Open Mathematics

2014

tom 12

nr 3

421-428

For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.

Ograniczanie wyników

2 Open Mathematics

1 Ivanova M.

1 Junkins C.

1 Manev M.

2 2014

Wyniki wyszukiwania

A classification of the torsion tensors on almost contact manifolds with B-metric

Twisted gamma filtration and algebras with orthogonal involution