On the characteristic connection of gwistor space

• Autorzy: Rui Albuquerque
• Języki publikacji: EN

Abstrakty

EN

We give a brief presentation of gwistor spaces, which is a new concept from G 2 geometry. Then we compute the characteristic torsion T c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T c is ∇c-parallel; this allows for the classification of the G 2 structure with torsion and the characteristic holonomy according to known references. The case of an Einstein base manifold is envisaged.

Słowa kluczowe

EN

Einstein metric; gwistor space; Characteristic torsion; G2 structure

Kategorie tematyczne

• 53C10: G -structures
• 53C20: Global Riemannian geometry, including pinching
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C28: Twistor methods

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 1
• Strony: 149-160

Daty

wydano

2013-01-01

online

2012-10-24

Twórcy

autor

Rui Albuquerque

• Departamento de Matemática da Universidade de Évora and Centro de Investigação em Matemática e Aplicações (CIMA-UÉ)

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0082-y