2011/07/31 by Rui Albuquerque
Mathematics · #Geometric Analysis and Curvature Flows #Mathematics and Applications #Point processes and geometric inequalities #math.DG #msc:53C10 #msc:53C20 #msc:53C25 #msc:53C28
paper · pdf · doi:10.4171/pm/1929
published as Portugaliae Mathematica, Vol. 70, Issue 2, 2013, pp. 145-160 · 16 pages
arxiv created 2012/07/14 · openalex publication_date 2013/08/02 · arxiv updated 2015/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study natural variations of the G2 structure σ0∈Λ3+ existing on the unit tangent sphere bundle SM of any oriented Riemannian 4-manifold M . We find a circle of structures for which the induced metric is the usual one, the so-called Sasaki metric, and prove how the original structure has a preferred role in the theory. We deduce the equations of calibration and cocalibration, as well as those of W3 pure type and nearly-parallel type.