On the characteristic connection of gwistor space

Rui Albuquerque

Open Mathematics (2013)

  • Volume: 11, Issue: 1, page 149-160
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Rui Albuquerque. "On the characteristic connection of gwistor space." Open Mathematics 11.1 (2013): 149-160. <http://eudml.org/doc/269679>.

@article{RuiAlbuquerque2013,
abstract = {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.},
author = {Rui Albuquerque},
journal = {Open Mathematics},
keywords = {Einstein metric; gwistor space; Characteristic torsion; G2 structure; -structure; Einstein manifold; characteristic connection; skew-symmetric torsion},
language = {eng},
number = {1},
pages = {149-160},
title = {On the characteristic connection of gwistor space},
url = {http://eudml.org/doc/269679},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Rui Albuquerque
TI - On the characteristic connection of gwistor space
JO - Open Mathematics
PY - 2013
VL - 11
IS - 1
SP - 149
EP - 160
AB - 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.
LA - eng
KW - Einstein metric; gwistor space; Characteristic torsion; G2 structure; -structure; Einstein manifold; characteristic connection; skew-symmetric torsion
UR - http://eudml.org/doc/269679
ER -

References

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