Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606725 | Differential Geometry and its Applications | 2006 | 13 Pages |
Abstract
A sub-Riemannian manifold is a differentiable manifold together with a smooth distribution which is equipped with a Riemannian metric. In this paper we attempt to study sub-Riemannian symmetric spaces (i.e., homogeneous sub-Riemannian manifolds admitting an involutive sub-Riemannian isometry at all points which is a central symmetry when restricted to the distribution) where the associated distribution is a codimension three fat distribution. We obtain a restricted classification theorem in dimension seven and we also construct a class of examples of quaternionic type in varying dimension.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dulce M. Almeida,