A Natural Connection on (2,3) Sub-Riemannian Manifolds

Details A Natural Connection on (2,3) Sub-Riemannian Manifolds A Natural Connection on (2,3) Sub-Riemannian Manifolds

2008-10-22

arxiv.org/abs/0810.4141v2

Mathematics

Differential Geometry

14 pages, no figures. Fixed a small error in the main theorem

Scientific paper

We build an analogue for the Levi-Civita connection on Riemannian manifolds
for sub-Riemannian manfiolds modeled on the Heisenberg group. We demonstrate
some geometric properties of this connection to justify our choice and show
that this connection is unique in having these properties.

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