On the characteristic connection of gwistor space
Keyword(s):
AbstractWe 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.
2006 ◽
Vol 29
(2)
◽
pp. 185-210
◽
2005 ◽
Vol 79
(1)
◽
pp. 1-10
◽
2000 ◽
Vol 46
(3)
◽
pp. 429-460
◽
2012 ◽
Vol 140
(5)
◽
pp. 1835-1847
◽
Keyword(s):