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Constant Curvature Models in Sub-Riemannian Geometry. (arXiv:1712.10278v2 [math.DG] UPDATED)
来源于:arXiv
Each sub-Riemannian geometry with bracket generating distribution enjoys a
background structure determined by the distribution itself. At the same time,
those geometries with constant sub-Riemannian symbols determine a unique Cartan
connection leading to their principal invariants. We provide cohomological
description of the structure of these curvature invariants in the cases where
the background structure is one of the parabolic geometries. As an
illustration, constant curvature models are discussed for certain
sub-Riemannian geometries. 查看全文>>