Almost Parallel Structures

Details Almost Parallel Structures Almost Parallel Structures

2001-07-20

arxiv.org/abs/math/0107146v1

Contemp. Math. 288 (2001), 162-181.

Mathematics

Differential Geometry

Proceedings, Congress in memory of Alfred Gray, to appear in AMS Contemporary Mathematics

Scientific paper

A discussion of torsion of Riemannian G-structures leads to a survey of
contributions of Alfred Gray and others on almost Hermitian manifolds,
G_2-manifolds, curvature identities, volume expansions, plotting geodesics, and
the geometry of nilmanifolds. The paper concludes with a new example of a
compact 8-manifold with a quaternionic 4-form that is closed but not parallel.

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