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Title: On the characteristic connection of gwistor space
Authors: Albuquerque, Rui
Editors: Bogomolov, Fedor
Sworowska, Tatiana
Keywords: Einstein metric
characteristic connection
gwistor space
G2 structure
Issue Date: 7-Mar-2012
Citation: 1107.5357v2.pdf
Abstract: We give a brief presentation of gwistor space, which is a new concept from G2 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 G2 structure with torsion and the characteristic holonomy according to known references. The case with the Einstein base manifold is envisaged.
ISSN: 1895-1074
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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